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Finding the Third Proportional to 2,441.18 and 5,253.19

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Solution

The third proportional to 2,441.18 and 5,253.19 is: 11,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.18 : 5,253.19 = 5,253.19 : x
  2. Step 2: Convert to fraction form
    2,441.18/5,253.19 = 5,253.19/x
  3. Step 3: Cross multiply
    2,441.18x = 5,253.19 × 5,253.19
  4. Step 4: Simplify right side
    2,441.18x = 27,595,978.91
  5. Step 5: Solve for x
    x = 27,595,978.91/2,441.18
  6. Step 6: Final answer
    x = 11,304.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.