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Finding the Third Proportional to 17,494.31 and 24,342.19

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Solution

The third proportional to 17,494.31 and 24,342.19 is: 33,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.31 : 24,342.19 = 24,342.19 : x
  2. Step 2: Convert to fraction form
    17,494.31/24,342.19 = 24,342.19/x
  3. Step 3: Cross multiply
    17,494.31x = 24,342.19 × 24,342.19
  4. Step 4: Simplify right side
    17,494.31x = 592,542,092.29
  5. Step 5: Solve for x
    x = 592,542,092.29/17,494.31
  6. Step 6: Final answer
    x = 33,870.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.