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Finding the Third Proportional to 17,649 and 27,338

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Solution

The third proportional to 17,649 and 27,338 is: 42,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 27,338 = 27,338 : x
  2. Step 2: Convert to fraction form
    17,649/27,338 = 27,338/x
  3. Step 3: Cross multiply
    17,649x = 27,338 × 27,338
  4. Step 4: Simplify right side
    17,649x = 747,366,244
  5. Step 5: Solve for x
    x = 747,366,244/17,649
  6. Step 6: Final answer
    x = 42,346.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.