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Finding the Third Proportional to 8,649 and 14,217

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Solution

The third proportional to 8,649 and 14,217 is: 23,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 14,217 = 14,217 : x
  2. Step 2: Convert to fraction form
    8,649/14,217 = 14,217/x
  3. Step 3: Cross multiply
    8,649x = 14,217 × 14,217
  4. Step 4: Simplify right side
    8,649x = 202,123,089
  5. Step 5: Solve for x
    x = 202,123,089/8,649
  6. Step 6: Final answer
    x = 23,369.53

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.