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Finding the Third Proportional to 20,182 and 42,567

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Solution

The third proportional to 20,182 and 42,567 is: 89,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 42,567 = 42,567 : x
  2. Step 2: Convert to fraction form
    20,182/42,567 = 42,567/x
  3. Step 3: Cross multiply
    20,182x = 42,567 × 42,567
  4. Step 4: Simplify right side
    20,182x = 1,811,949,489
  5. Step 5: Solve for x
    x = 1,811,949,489/20,182
  6. Step 6: Final answer
    x = 89,780.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.