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Finding the Third Proportional to 6,649 and 14,467

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Solution

The third proportional to 6,649 and 14,467 is: 31,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649 : 14,467 = 14,467 : x
  2. Step 2: Convert to fraction form
    6,649/14,467 = 14,467/x
  3. Step 3: Cross multiply
    6,649x = 14,467 × 14,467
  4. Step 4: Simplify right side
    6,649x = 209,294,089
  5. Step 5: Solve for x
    x = 209,294,089/6,649
  6. Step 6: Final answer
    x = 31,477.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.