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Finding the Third Proportional to 20,023 and 32,252

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Solution

The third proportional to 20,023 and 32,252 is: 51,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 32,252 = 32,252 : x
  2. Step 2: Convert to fraction form
    20,023/32,252 = 32,252/x
  3. Step 3: Cross multiply
    20,023x = 32,252 × 32,252
  4. Step 4: Simplify right side
    20,023x = 1,040,191,504
  5. Step 5: Solve for x
    x = 1,040,191,504/20,023
  6. Step 6: Final answer
    x = 51,949.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.