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Finding the Third Proportional to 34,614.56 and 51,864.19

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Solution

The third proportional to 34,614.56 and 51,864.19 is: 77,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.56 : 51,864.19 = 51,864.19 : x
  2. Step 2: Convert to fraction form
    34,614.56/51,864.19 = 51,864.19/x
  3. Step 3: Cross multiply
    34,614.56x = 51,864.19 × 51,864.19
  4. Step 4: Simplify right side
    34,614.56x = 2,689,893,945.04
  5. Step 5: Solve for x
    x = 2,689,893,945.04/34,614.56
  6. Step 6: Final answer
    x = 77,709.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.