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Finding the Third Proportional to 33,449 and 44,615

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Solution

The third proportional to 33,449 and 44,615 is: 59,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,449 : 44,615 = 44,615 : x
  2. Step 2: Convert to fraction form
    33,449/44,615 = 44,615/x
  3. Step 3: Cross multiply
    33,449x = 44,615 × 44,615
  4. Step 4: Simplify right side
    33,449x = 1,990,498,225
  5. Step 5: Solve for x
    x = 1,990,498,225/33,449
  6. Step 6: Final answer
    x = 59,508.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.