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Finding the Third Proportional to 38,808 and 59,339

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Solution

The third proportional to 38,808 and 59,339 is: 90,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,808 : 59,339 = 59,339 : x
  2. Step 2: Convert to fraction form
    38,808/59,339 = 59,339/x
  3. Step 3: Cross multiply
    38,808x = 59,339 × 59,339
  4. Step 4: Simplify right side
    38,808x = 3,521,116,921
  5. Step 5: Solve for x
    x = 3,521,116,921/38,808
  6. Step 6: Final answer
    x = 90,731.73

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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.