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Finding the Third Proportional to 20,281 and 42,113

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Solution

The third proportional to 20,281 and 42,113 is: 87,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 42,113 = 42,113 : x
  2. Step 2: Convert to fraction form
    20,281/42,113 = 42,113/x
  3. Step 3: Cross multiply
    20,281x = 42,113 × 42,113
  4. Step 4: Simplify right side
    20,281x = 1,773,504,769
  5. Step 5: Solve for x
    x = 1,773,504,769/20,281
  6. Step 6: Final answer
    x = 87,446.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.