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Finding the Third Proportional to 6,002 and 9,003

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Solution

The third proportional to 6,002 and 9,003 is: 13,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002 : 9,003 = 9,003 : x
  2. Step 2: Convert to fraction form
    6,002/9,003 = 9,003/x
  3. Step 3: Cross multiply
    6,002x = 9,003 × 9,003
  4. Step 4: Simplify right side
    6,002x = 81,054,009
  5. Step 5: Solve for x
    x = 81,054,009/6,002
  6. Step 6: Final answer
    x = 13,504.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.