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Finding the Third Proportional to 42,665.50 and 57,436

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Solution

The third proportional to 42,665.50 and 57,436 is: 77,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665.50 : 57,436 = 57,436 : x
  2. Step 2: Convert to fraction form
    42,665.50/57,436 = 57,436/x
  3. Step 3: Cross multiply
    42,665.50x = 57,436 × 57,436
  4. Step 4: Simplify right side
    42,665.50x = 3,298,894,096
  5. Step 5: Solve for x
    x = 3,298,894,096/42,665.50
  6. Step 6: Final answer
    x = 77,319.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.