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Finding the Third Proportional to 61,357.50 and 71,715.38

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Solution

The third proportional to 61,357.50 and 71,715.38 is: 83,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,357.50 : 71,715.38 = 71,715.38 : x
  2. Step 2: Convert to fraction form
    61,357.50/71,715.38 = 71,715.38/x
  3. Step 3: Cross multiply
    61,357.50x = 71,715.38 × 71,715.38
  4. Step 4: Simplify right side
    61,357.50x = 5,143,095,011.39
  5. Step 5: Solve for x
    x = 5,143,095,011.39/61,357.50
  6. Step 6: Final answer
    x = 83,821.78

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.