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Finding the Third Proportional to 20,535 and 22,695

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Solution

The third proportional to 20,535 and 22,695 is: 25,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535 : 22,695 = 22,695 : x
  2. Step 2: Convert to fraction form
    20,535/22,695 = 22,695/x
  3. Step 3: Cross multiply
    20,535x = 22,695 × 22,695
  4. Step 4: Simplify right side
    20,535x = 515,063,025
  5. Step 5: Solve for x
    x = 515,063,025/20,535
  6. Step 6: Final answer
    x = 25,082.20

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.