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Finding the Third Proportional to 38,332 and 57,264

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Solution

The third proportional to 38,332 and 57,264 is: 85,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332 : 57,264 = 57,264 : x
  2. Step 2: Convert to fraction form
    38,332/57,264 = 57,264/x
  3. Step 3: Cross multiply
    38,332x = 57,264 × 57,264
  4. Step 4: Simplify right side
    38,332x = 3,279,165,696
  5. Step 5: Solve for x
    x = 3,279,165,696/38,332
  6. Step 6: Final answer
    x = 85,546.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.