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Finding the Third Proportional to 1,920.38 and 3,913.88

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Solution

The third proportional to 1,920.38 and 3,913.88 is: 7,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.38 : 3,913.88 = 3,913.88 : x
  2. Step 2: Convert to fraction form
    1,920.38/3,913.88 = 3,913.88/x
  3. Step 3: Cross multiply
    1,920.38x = 3,913.88 × 3,913.88
  4. Step 4: Simplify right side
    1,920.38x = 15,318,417.52
  5. Step 5: Solve for x
    x = 15,318,417.52/1,920.38
  6. Step 6: Final answer
    x = 7,976.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.