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Finding the Third Proportional to 20,034 and 25,632

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Solution

The third proportional to 20,034 and 25,632 is: 32,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034 : 25,632 = 25,632 : x
  2. Step 2: Convert to fraction form
    20,034/25,632 = 25,632/x
  3. Step 3: Cross multiply
    20,034x = 25,632 × 25,632
  4. Step 4: Simplify right side
    20,034x = 656,999,424
  5. Step 5: Solve for x
    x = 656,999,424/20,034
  6. Step 6: Final answer
    x = 32,794.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.