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Finding the Third Proportional to 20,872 and 32,089

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Solution

The third proportional to 20,872 and 32,089 is: 49,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 32,089 = 32,089 : x
  2. Step 2: Convert to fraction form
    20,872/32,089 = 32,089/x
  3. Step 3: Cross multiply
    20,872x = 32,089 × 32,089
  4. Step 4: Simplify right side
    20,872x = 1,029,703,921
  5. Step 5: Solve for x
    x = 1,029,703,921/20,872
  6. Step 6: Final answer
    x = 49,334.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.