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Finding the Third Proportional to 3,412 and 8,003

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Solution

The third proportional to 3,412 and 8,003 is: 18,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 8,003 = 8,003 : x
  2. Step 2: Convert to fraction form
    3,412/8,003 = 8,003/x
  3. Step 3: Cross multiply
    3,412x = 8,003 × 8,003
  4. Step 4: Simplify right side
    3,412x = 64,048,009
  5. Step 5: Solve for x
    x = 64,048,009/3,412
  6. Step 6: Final answer
    x = 18,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.