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Finding the Third Proportional to 17,742 and 27,292

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Solution

The third proportional to 17,742 and 27,292 is: 41,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742 : 27,292 = 27,292 : x
  2. Step 2: Convert to fraction form
    17,742/27,292 = 27,292/x
  3. Step 3: Cross multiply
    17,742x = 27,292 × 27,292
  4. Step 4: Simplify right side
    17,742x = 744,853,264
  5. Step 5: Solve for x
    x = 744,853,264/17,742
  6. Step 6: Final answer
    x = 41,982.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.