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Finding the Third Proportional to 12,710.25 and 29,691.56

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Solution

The third proportional to 12,710.25 and 29,691.56 is: 69,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.25 : 29,691.56 = 29,691.56 : x
  2. Step 2: Convert to fraction form
    12,710.25/29,691.56 = 29,691.56/x
  3. Step 3: Cross multiply
    12,710.25x = 29,691.56 × 29,691.56
  4. Step 4: Simplify right side
    12,710.25x = 881,588,883.69
  5. Step 5: Solve for x
    x = 881,588,883.69/12,710.25
  6. Step 6: Final answer
    x = 69,360.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.