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Finding the Third Proportional to 15,676 and 22,649

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Solution

The third proportional to 15,676 and 22,649 is: 32,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 22,649 = 22,649 : x
  2. Step 2: Convert to fraction form
    15,676/22,649 = 22,649/x
  3. Step 3: Cross multiply
    15,676x = 22,649 × 22,649
  4. Step 4: Simplify right side
    15,676x = 512,977,201
  5. Step 5: Solve for x
    x = 512,977,201/15,676
  6. Step 6: Final answer
    x = 32,723.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.