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Finding the Third Proportional to 38,676 and 60,294

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Solution

The third proportional to 38,676 and 60,294 is: 93,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676 : 60,294 = 60,294 : x
  2. Step 2: Convert to fraction form
    38,676/60,294 = 60,294/x
  3. Step 3: Cross multiply
    38,676x = 60,294 × 60,294
  4. Step 4: Simplify right side
    38,676x = 3,635,366,436
  5. Step 5: Solve for x
    x = 3,635,366,436/38,676
  6. Step 6: Final answer
    x = 93,995.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.