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Finding the Third Proportional to 20,142 and 43,524

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Solution

The third proportional to 20,142 and 43,524 is: 94,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 43,524 = 43,524 : x
  2. Step 2: Convert to fraction form
    20,142/43,524 = 43,524/x
  3. Step 3: Cross multiply
    20,142x = 43,524 × 43,524
  4. Step 4: Simplify right side
    20,142x = 1,894,338,576
  5. Step 5: Solve for x
    x = 1,894,338,576/20,142
  6. Step 6: Final answer
    x = 94,049.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.