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Finding the Third Proportional to 24,150 and 32,496

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Solution

The third proportional to 24,150 and 32,496 is: 43,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150 : 32,496 = 32,496 : x
  2. Step 2: Convert to fraction form
    24,150/32,496 = 32,496/x
  3. Step 3: Cross multiply
    24,150x = 32,496 × 32,496
  4. Step 4: Simplify right side
    24,150x = 1,055,990,016
  5. Step 5: Solve for x
    x = 1,055,990,016/24,150
  6. Step 6: Final answer
    x = 43,726.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.