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Finding the Third Proportional to 20,531 and 31,853

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Solution

The third proportional to 20,531 and 31,853 is: 49,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531 : 31,853 = 31,853 : x
  2. Step 2: Convert to fraction form
    20,531/31,853 = 31,853/x
  3. Step 3: Cross multiply
    20,531x = 31,853 × 31,853
  4. Step 4: Simplify right side
    20,531x = 1,014,613,609
  5. Step 5: Solve for x
    x = 1,014,613,609/20,531
  6. Step 6: Final answer
    x = 49,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.