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Finding the Third Proportional to 20,632 and 32,026

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Solution

The third proportional to 20,632 and 32,026 is: 49,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632 : 32,026 = 32,026 : x
  2. Step 2: Convert to fraction form
    20,632/32,026 = 32,026/x
  3. Step 3: Cross multiply
    20,632x = 32,026 × 32,026
  4. Step 4: Simplify right side
    20,632x = 1,025,664,676
  5. Step 5: Solve for x
    x = 1,025,664,676/20,632
  6. Step 6: Final answer
    x = 49,712.32

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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.