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Finding the Third Proportional to 20,181 and 22,854

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Solution

The third proportional to 20,181 and 22,854 is: 25,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 22,854 = 22,854 : x
  2. Step 2: Convert to fraction form
    20,181/22,854 = 22,854/x
  3. Step 3: Cross multiply
    20,181x = 22,854 × 22,854
  4. Step 4: Simplify right side
    20,181x = 522,305,316
  5. Step 5: Solve for x
    x = 522,305,316/20,181
  6. Step 6: Final answer
    x = 25,881.04

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.