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Finding the Third Proportional to 38,478 and 60,147

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Solution

The third proportional to 38,478 and 60,147 is: 94,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478 : 60,147 = 60,147 : x
  2. Step 2: Convert to fraction form
    38,478/60,147 = 60,147/x
  3. Step 3: Cross multiply
    38,478x = 60,147 × 60,147
  4. Step 4: Simplify right side
    38,478x = 3,617,661,609
  5. Step 5: Solve for x
    x = 3,617,661,609/38,478
  6. Step 6: Final answer
    x = 94,018.96

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