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Finding the Third Proportional to 42,688.69 and 65,957.84

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Solution

The third proportional to 42,688.69 and 65,957.84 is: 101,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,688.69 : 65,957.84 = 65,957.84 : x
  2. Step 2: Convert to fraction form
    42,688.69/65,957.84 = 65,957.84/x
  3. Step 3: Cross multiply
    42,688.69x = 65,957.84 × 65,957.84
  4. Step 4: Simplify right side
    42,688.69x = 4,350,436,121.56
  5. Step 5: Solve for x
    x = 4,350,436,121.56/42,688.69
  6. Step 6: Final answer
    x = 101,910.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.