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Finding the Third Proportional to 7,649 and 16,755

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Solution

The third proportional to 7,649 and 16,755 is: 36,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649 : 16,755 = 16,755 : x
  2. Step 2: Convert to fraction form
    7,649/16,755 = 16,755/x
  3. Step 3: Cross multiply
    7,649x = 16,755 × 16,755
  4. Step 4: Simplify right side
    7,649x = 280,730,025
  5. Step 5: Solve for x
    x = 280,730,025/7,649
  6. Step 6: Final answer
    x = 36,701.53

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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.