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Finding the Third Proportional to 20,882 and 32,320

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Solution

The third proportional to 20,882 and 32,320 is: 50,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 32,320 = 32,320 : x
  2. Step 2: Convert to fraction form
    20,882/32,320 = 32,320/x
  3. Step 3: Cross multiply
    20,882x = 32,320 × 32,320
  4. Step 4: Simplify right side
    20,882x = 1,044,582,400
  5. Step 5: Solve for x
    x = 1,044,582,400/20,882
  6. Step 6: Final answer
    x = 50,023.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.