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Finding the Third Proportional to 38,032 and 57,966

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Solution

The third proportional to 38,032 and 57,966 is: 88,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 57,966 = 57,966 : x
  2. Step 2: Convert to fraction form
    38,032/57,966 = 57,966/x
  3. Step 3: Cross multiply
    38,032x = 57,966 × 57,966
  4. Step 4: Simplify right side
    38,032x = 3,360,057,156
  5. Step 5: Solve for x
    x = 3,360,057,156/38,032
  6. Step 6: Final answer
    x = 88,348.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.