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Finding the Third Proportional to 15,649 and 32,593

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Solution

The third proportional to 15,649 and 32,593 is: 67,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649 : 32,593 = 32,593 : x
  2. Step 2: Convert to fraction form
    15,649/32,593 = 32,593/x
  3. Step 3: Cross multiply
    15,649x = 32,593 × 32,593
  4. Step 4: Simplify right side
    15,649x = 1,062,303,649
  5. Step 5: Solve for x
    x = 1,062,303,649/15,649
  6. Step 6: Final answer
    x = 67,883.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.