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Finding the Third Proportional to 14,589 and 22,932

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Solution

The third proportional to 14,589 and 22,932 is: 36,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 22,932 = 22,932 : x
  2. Step 2: Convert to fraction form
    14,589/22,932 = 22,932/x
  3. Step 3: Cross multiply
    14,589x = 22,932 × 22,932
  4. Step 4: Simplify right side
    14,589x = 525,876,624
  5. Step 5: Solve for x
    x = 525,876,624/14,589
  6. Step 6: Final answer
    x = 36,046.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.