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Finding the Third Proportional to 38,500 and 57,593

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Solution

The third proportional to 38,500 and 57,593 is: 86,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500 : 57,593 = 57,593 : x
  2. Step 2: Convert to fraction form
    38,500/57,593 = 57,593/x
  3. Step 3: Cross multiply
    38,500x = 57,593 × 57,593
  4. Step 4: Simplify right side
    38,500x = 3,316,953,649
  5. Step 5: Solve for x
    x = 3,316,953,649/38,500
  6. Step 6: Final answer
    x = 86,154.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.