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Finding the Third Proportional to 9,866 and 21,649

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Solution

The third proportional to 9,866 and 21,649 is: 47,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 21,649 = 21,649 : x
  2. Step 2: Convert to fraction form
    9,866/21,649 = 21,649/x
  3. Step 3: Cross multiply
    9,866x = 21,649 × 21,649
  4. Step 4: Simplify right side
    9,866x = 468,679,201
  5. Step 5: Solve for x
    x = 468,679,201/9,866
  6. Step 6: Final answer
    x = 47,504.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.