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Finding the Third Proportional to 29,686.50 and 62,866.13

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Solution

The third proportional to 29,686.50 and 62,866.13 is: 133,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.50 : 62,866.13 = 62,866.13 : x
  2. Step 2: Convert to fraction form
    29,686.50/62,866.13 = 62,866.13/x
  3. Step 3: Cross multiply
    29,686.50x = 62,866.13 × 62,866.13
  4. Step 4: Simplify right side
    29,686.50x = 3,952,149,672.52
  5. Step 5: Solve for x
    x = 3,952,149,672.52/29,686.50
  6. Step 6: Final answer
    x = 133,129.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.