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Finding the Third Proportional to 10,950 and 19,452

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Solution

The third proportional to 10,950 and 19,452 is: 34,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950 : 19,452 = 19,452 : x
  2. Step 2: Convert to fraction form
    10,950/19,452 = 19,452/x
  3. Step 3: Cross multiply
    10,950x = 19,452 × 19,452
  4. Step 4: Simplify right side
    10,950x = 378,380,304
  5. Step 5: Solve for x
    x = 378,380,304/10,950
  6. Step 6: Final answer
    x = 34,555.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.