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Finding the Third Proportional to 1,882.41 and 3,914.16

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Solution

The third proportional to 1,882.41 and 3,914.16 is: 8,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.41 : 3,914.16 = 3,914.16 : x
  2. Step 2: Convert to fraction form
    1,882.41/3,914.16 = 3,914.16/x
  3. Step 3: Cross multiply
    1,882.41x = 3,914.16 × 3,914.16
  4. Step 4: Simplify right side
    1,882.41x = 15,320,619.15
  5. Step 5: Solve for x
    x = 15,320,619.15/1,882.41
  6. Step 6: Final answer
    x = 8,138.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.