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Finding the Third Proportional to 21,708 and 32,744

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Solution

The third proportional to 21,708 and 32,744 is: 49,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708 : 32,744 = 32,744 : x
  2. Step 2: Convert to fraction form
    21,708/32,744 = 32,744/x
  3. Step 3: Cross multiply
    21,708x = 32,744 × 32,744
  4. Step 4: Simplify right side
    21,708x = 1,072,169,536
  5. Step 5: Solve for x
    x = 1,072,169,536/21,708
  6. Step 6: Final answer
    x = 49,390.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.