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Finding the Third Proportional to 38,567 and 58,665

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Solution

The third proportional to 38,567 and 58,665 is: 89,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567 : 58,665 = 58,665 : x
  2. Step 2: Convert to fraction form
    38,567/58,665 = 58,665/x
  3. Step 3: Cross multiply
    38,567x = 58,665 × 58,665
  4. Step 4: Simplify right side
    38,567x = 3,441,582,225
  5. Step 5: Solve for x
    x = 3,441,582,225/38,567
  6. Step 6: Final answer
    x = 89,236.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.