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Finding the Third Proportional to 20,564 and 22,724

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Solution

The third proportional to 20,564 and 22,724 is: 25,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 22,724 = 22,724 : x
  2. Step 2: Convert to fraction form
    20,564/22,724 = 22,724/x
  3. Step 3: Cross multiply
    20,564x = 22,724 × 22,724
  4. Step 4: Simplify right side
    20,564x = 516,380,176
  5. Step 5: Solve for x
    x = 516,380,176/20,564
  6. Step 6: Final answer
    x = 25,110.88

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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.