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Finding the Third Proportional to 38,265 and 57,436

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Solution

The third proportional to 38,265 and 57,436 is: 86,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265 : 57,436 = 57,436 : x
  2. Step 2: Convert to fraction form
    38,265/57,436 = 57,436/x
  3. Step 3: Cross multiply
    38,265x = 57,436 × 57,436
  4. Step 4: Simplify right side
    38,265x = 3,298,894,096
  5. Step 5: Solve for x
    x = 3,298,894,096/38,265
  6. Step 6: Final answer
    x = 86,211.79

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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.