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Finding the Third Proportional to 20,972 and 32,188

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Solution

The third proportional to 20,972 and 32,188 is: 49,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972 : 32,188 = 32,188 : x
  2. Step 2: Convert to fraction form
    20,972/32,188 = 32,188/x
  3. Step 3: Cross multiply
    20,972x = 32,188 × 32,188
  4. Step 4: Simplify right side
    20,972x = 1,036,067,344
  5. Step 5: Solve for x
    x = 1,036,067,344/20,972
  6. Step 6: Final answer
    x = 49,402.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.