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Finding the Third Proportional to 17,708 and 24,061

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Solution

The third proportional to 17,708 and 24,061 is: 32,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708 : 24,061 = 24,061 : x
  2. Step 2: Convert to fraction form
    17,708/24,061 = 24,061/x
  3. Step 3: Cross multiply
    17,708x = 24,061 × 24,061
  4. Step 4: Simplify right side
    17,708x = 578,931,721
  5. Step 5: Solve for x
    x = 578,931,721/17,708
  6. Step 6: Final answer
    x = 32,693.23

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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.