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Finding the Third Proportional to 17,732 and 23,642

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Solution

The third proportional to 17,732 and 23,642 is: 31,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732 : 23,642 = 23,642 : x
  2. Step 2: Convert to fraction form
    17,732/23,642 = 23,642/x
  3. Step 3: Cross multiply
    17,732x = 23,642 × 23,642
  4. Step 4: Simplify right side
    17,732x = 558,944,164
  5. Step 5: Solve for x
    x = 558,944,164/17,732
  6. Step 6: Final answer
    x = 31,521.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.