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Finding the Third Proportional to 29,710.13 and 64,951.88

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Solution

The third proportional to 29,710.13 and 64,951.88 is: 141,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.13 : 64,951.88 = 64,951.88 : x
  2. Step 2: Convert to fraction form
    29,710.13/64,951.88 = 64,951.88/x
  3. Step 3: Cross multiply
    29,710.13x = 64,951.88 × 64,951.88
  4. Step 4: Simplify right side
    29,710.13x = 4,218,746,066.02
  5. Step 5: Solve for x
    x = 4,218,746,066.02/29,710.13
  6. Step 6: Final answer
    x = 141,996.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.