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Finding the Third Proportional to 15,914 and 34,744

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Solution

The third proportional to 15,914 and 34,744 is: 75,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 34,744 = 34,744 : x
  2. Step 2: Convert to fraction form
    15,914/34,744 = 34,744/x
  3. Step 3: Cross multiply
    15,914x = 34,744 × 34,744
  4. Step 4: Simplify right side
    15,914x = 1,207,145,536
  5. Step 5: Solve for x
    x = 1,207,145,536/15,914
  6. Step 6: Final answer
    x = 75,854.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.