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Finding the Third Proportional to 1,042.78 and 2,281.31

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Solution

The third proportional to 1,042.78 and 2,281.31 is: 4,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.78 : 2,281.31 = 2,281.31 : x
  2. Step 2: Convert to fraction form
    1,042.78/2,281.31 = 2,281.31/x
  3. Step 3: Cross multiply
    1,042.78x = 2,281.31 × 2,281.31
  4. Step 4: Simplify right side
    1,042.78x = 5,204,386.72
  5. Step 5: Solve for x
    x = 5,204,386.72/1,042.78
  6. Step 6: Final answer
    x = 4,990.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.