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Finding the Third Proportional to 17,442 and 24,919

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Solution

The third proportional to 17,442 and 24,919 is: 35,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 24,919 = 24,919 : x
  2. Step 2: Convert to fraction form
    17,442/24,919 = 24,919/x
  3. Step 3: Cross multiply
    17,442x = 24,919 × 24,919
  4. Step 4: Simplify right side
    17,442x = 620,956,561
  5. Step 5: Solve for x
    x = 620,956,561/17,442
  6. Step 6: Final answer
    x = 35,601.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.