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Finding the Third Proportional to 2,442.19 and 5,248.31

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Solution

The third proportional to 2,442.19 and 5,248.31 is: 11,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.19 : 5,248.31 = 5,248.31 : x
  2. Step 2: Convert to fraction form
    2,442.19/5,248.31 = 5,248.31/x
  3. Step 3: Cross multiply
    2,442.19x = 5,248.31 × 5,248.31
  4. Step 4: Simplify right side
    2,442.19x = 27,544,784.10
  5. Step 5: Solve for x
    x = 27,544,784.10/2,442.19
  6. Step 6: Final answer
    x = 11,278.73

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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.