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Finding the Third Proportional to 17,724 and 24,081

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Solution

The third proportional to 17,724 and 24,081 is: 32,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 24,081 = 24,081 : x
  2. Step 2: Convert to fraction form
    17,724/24,081 = 24,081/x
  3. Step 3: Cross multiply
    17,724x = 24,081 × 24,081
  4. Step 4: Simplify right side
    17,724x = 579,894,561
  5. Step 5: Solve for x
    x = 579,894,561/17,724
  6. Step 6: Final answer
    x = 32,718.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.