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Finding the Third Proportional to 17,404 and 24,870

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Solution

The third proportional to 17,404 and 24,870 is: 35,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404 : 24,870 = 24,870 : x
  2. Step 2: Convert to fraction form
    17,404/24,870 = 24,870/x
  3. Step 3: Cross multiply
    17,404x = 24,870 × 24,870
  4. Step 4: Simplify right side
    17,404x = 618,516,900
  5. Step 5: Solve for x
    x = 618,516,900/17,404
  6. Step 6: Final answer
    x = 35,538.78

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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.