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Finding the Third Proportional to 15,744 and 36,144

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Solution

The third proportional to 15,744 and 36,144 is: 82,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 36,144 = 36,144 : x
  2. Step 2: Convert to fraction form
    15,744/36,144 = 36,144/x
  3. Step 3: Cross multiply
    15,744x = 36,144 × 36,144
  4. Step 4: Simplify right side
    15,744x = 1,306,388,736
  5. Step 5: Solve for x
    x = 1,306,388,736/15,744
  6. Step 6: Final answer
    x = 82,976.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.