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Finding the Third Proportional to 5,866 and 11,432

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Solution

The third proportional to 5,866 and 11,432 is: 22,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866 : 11,432 = 11,432 : x
  2. Step 2: Convert to fraction form
    5,866/11,432 = 11,432/x
  3. Step 3: Cross multiply
    5,866x = 11,432 × 11,432
  4. Step 4: Simplify right side
    5,866x = 130,690,624
  5. Step 5: Solve for x
    x = 130,690,624/5,866
  6. Step 6: Final answer
    x = 22,279.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.