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Finding the Third Proportional to 20,182 and 22,045

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Solution

The third proportional to 20,182 and 22,045 is: 24,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 22,045 = 22,045 : x
  2. Step 2: Convert to fraction form
    20,182/22,045 = 22,045/x
  3. Step 3: Cross multiply
    20,182x = 22,045 × 22,045
  4. Step 4: Simplify right side
    20,182x = 485,982,025
  5. Step 5: Solve for x
    x = 485,982,025/20,182
  6. Step 6: Final answer
    x = 24,079.97

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.