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Finding the Third Proportional to 38,062 and 59,397

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Solution

The third proportional to 38,062 and 59,397 is: 92,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,062 : 59,397 = 59,397 : x
  2. Step 2: Convert to fraction form
    38,062/59,397 = 59,397/x
  3. Step 3: Cross multiply
    38,062x = 59,397 × 59,397
  4. Step 4: Simplify right side
    38,062x = 3,528,003,609
  5. Step 5: Solve for x
    x = 3,528,003,609/38,062
  6. Step 6: Final answer
    x = 92,690.97

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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.