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Finding the Third Proportional to 20,214 and 41,725

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Solution

The third proportional to 20,214 and 41,725 is: 86,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 41,725 = 41,725 : x
  2. Step 2: Convert to fraction form
    20,214/41,725 = 41,725/x
  3. Step 3: Cross multiply
    20,214x = 41,725 × 41,725
  4. Step 4: Simplify right side
    20,214x = 1,740,975,625
  5. Step 5: Solve for x
    x = 1,740,975,625/20,214
  6. Step 6: Final answer
    x = 86,127.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.