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Finding the Third Proportional to 8,649 and 18,749

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Solution

The third proportional to 8,649 and 18,749 is: 40,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 18,749 = 18,749 : x
  2. Step 2: Convert to fraction form
    8,649/18,749 = 18,749/x
  3. Step 3: Cross multiply
    8,649x = 18,749 × 18,749
  4. Step 4: Simplify right side
    8,649x = 351,525,001
  5. Step 5: Solve for x
    x = 351,525,001/8,649
  6. Step 6: Final answer
    x = 40,643.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.