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Finding the Third Proportional to 13,444 and 17,474

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Solution

The third proportional to 13,444 and 17,474 is: 22,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444 : 17,474 = 17,474 : x
  2. Step 2: Convert to fraction form
    13,444/17,474 = 17,474/x
  3. Step 3: Cross multiply
    13,444x = 17,474 × 17,474
  4. Step 4: Simplify right side
    13,444x = 305,340,676
  5. Step 5: Solve for x
    x = 305,340,676/13,444
  6. Step 6: Final answer
    x = 22,712.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.