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Finding the Third Proportional to 13,710.52 and 29,151.14

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Solution

The third proportional to 13,710.52 and 29,151.14 is: 61,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.52 : 29,151.14 = 29,151.14 : x
  2. Step 2: Convert to fraction form
    13,710.52/29,151.14 = 29,151.14/x
  3. Step 3: Cross multiply
    13,710.52x = 29,151.14 × 29,151.14
  4. Step 4: Simplify right side
    13,710.52x = 849,788,999.74
  5. Step 5: Solve for x
    x = 849,788,999.74/13,710.52
  6. Step 6: Final answer
    x = 61,980.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.