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Finding the Third Proportional to 17,264 and 24,438

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Solution

The third proportional to 17,264 and 24,438 is: 34,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264 : 24,438 = 24,438 : x
  2. Step 2: Convert to fraction form
    17,264/24,438 = 24,438/x
  3. Step 3: Cross multiply
    17,264x = 24,438 × 24,438
  4. Step 4: Simplify right side
    17,264x = 597,215,844
  5. Step 5: Solve for x
    x = 597,215,844/17,264
  6. Step 6: Final answer
    x = 34,593.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.