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Finding the Third Proportional to 20,042 and 43,540

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Solution

The third proportional to 20,042 and 43,540 is: 94,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042 : 43,540 = 43,540 : x
  2. Step 2: Convert to fraction form
    20,042/43,540 = 43,540/x
  3. Step 3: Cross multiply
    20,042x = 43,540 × 43,540
  4. Step 4: Simplify right side
    20,042x = 1,895,731,600
  5. Step 5: Solve for x
    x = 1,895,731,600/20,042
  6. Step 6: Final answer
    x = 94,587.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.