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Finding the Third Proportional to 2,112.19 and 2,442.38

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Solution

The third proportional to 2,112.19 and 2,442.38 is: 2,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.19 : 2,442.38 = 2,442.38 : x
  2. Step 2: Convert to fraction form
    2,112.19/2,442.38 = 2,442.38/x
  3. Step 3: Cross multiply
    2,112.19x = 2,442.38 × 2,442.38
  4. Step 4: Simplify right side
    2,112.19x = 5,965,195.64
  5. Step 5: Solve for x
    x = 5,965,195.64/2,112.19
  6. Step 6: Final answer
    x = 2,824.18

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.