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Finding the Third Proportional to 15,802 and 23,744

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Solution

The third proportional to 15,802 and 23,744 is: 35,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802 : 23,744 = 23,744 : x
  2. Step 2: Convert to fraction form
    15,802/23,744 = 23,744/x
  3. Step 3: Cross multiply
    15,802x = 23,744 × 23,744
  4. Step 4: Simplify right side
    15,802x = 563,777,536
  5. Step 5: Solve for x
    x = 563,777,536/15,802
  6. Step 6: Final answer
    x = 35,677.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.