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Finding the Third Proportional to 20,120 and 32,197

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Solution

The third proportional to 20,120 and 32,197 is: 51,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 32,197 = 32,197 : x
  2. Step 2: Convert to fraction form
    20,120/32,197 = 32,197/x
  3. Step 3: Cross multiply
    20,120x = 32,197 × 32,197
  4. Step 4: Simplify right side
    20,120x = 1,036,646,809
  5. Step 5: Solve for x
    x = 1,036,646,809/20,120
  6. Step 6: Final answer
    x = 51,523.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.