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Finding the Third Proportional to 9,724 and 20,866

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Solution

The third proportional to 9,724 and 20,866 is: 44,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 20,866 = 20,866 : x
  2. Step 2: Convert to fraction form
    9,724/20,866 = 20,866/x
  3. Step 3: Cross multiply
    9,724x = 20,866 × 20,866
  4. Step 4: Simplify right side
    9,724x = 435,389,956
  5. Step 5: Solve for x
    x = 435,389,956/9,724
  6. Step 6: Final answer
    x = 44,774.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.