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Finding the Third Proportional to 47,095 and 66,003

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Solution

The third proportional to 47,095 and 66,003 is: 92,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095 : 66,003 = 66,003 : x
  2. Step 2: Convert to fraction form
    47,095/66,003 = 66,003/x
  3. Step 3: Cross multiply
    47,095x = 66,003 × 66,003
  4. Step 4: Simplify right side
    47,095x = 4,356,396,009
  5. Step 5: Solve for x
    x = 4,356,396,009/47,095
  6. Step 6: Final answer
    x = 92,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.