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Finding the Third Proportional to 3,944.44 and 5,882.25

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Solution

The third proportional to 3,944.44 and 5,882.25 is: 8,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.44 : 5,882.25 = 5,882.25 : x
  2. Step 2: Convert to fraction form
    3,944.44/5,882.25 = 5,882.25/x
  3. Step 3: Cross multiply
    3,944.44x = 5,882.25 × 5,882.25
  4. Step 4: Simplify right side
    3,944.44x = 34,600,865.06
  5. Step 5: Solve for x
    x = 34,600,865.06/3,944.44
  6. Step 6: Final answer
    x = 8,772.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.