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Finding the Third Proportional to 38,599 and 59,093

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Solution

The third proportional to 38,599 and 59,093 is: 90,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599 : 59,093 = 59,093 : x
  2. Step 2: Convert to fraction form
    38,599/59,093 = 59,093/x
  3. Step 3: Cross multiply
    38,599x = 59,093 × 59,093
  4. Step 4: Simplify right side
    38,599x = 3,491,982,649
  5. Step 5: Solve for x
    x = 3,491,982,649/38,599
  6. Step 6: Final answer
    x = 90,468.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.