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Finding the Third Proportional to 1,042.24 and 1,930.71

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Solution

The third proportional to 1,042.24 and 1,930.71 is: 3,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,930.71 = 1,930.71 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,930.71 = 1,930.71/x
  3. Step 3: Cross multiply
    1,042.24x = 1,930.71 × 1,930.71
  4. Step 4: Simplify right side
    1,042.24x = 3,727,644.72
  5. Step 5: Solve for x
    x = 3,727,644.72/1,042.24
  6. Step 6: Final answer
    x = 3,576.56

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.