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Finding the Third Proportional to 36,866 and 58,467

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Solution

The third proportional to 36,866 and 58,467 is: 92,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,866 : 58,467 = 58,467 : x
  2. Step 2: Convert to fraction form
    36,866/58,467 = 58,467/x
  3. Step 3: Cross multiply
    36,866x = 58,467 × 58,467
  4. Step 4: Simplify right side
    36,866x = 3,418,390,089
  5. Step 5: Solve for x
    x = 3,418,390,089/36,866
  6. Step 6: Final answer
    x = 92,724.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.