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Finding the Third Proportional to 807.33 and 1,648.90

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Solution

The third proportional to 807.33 and 1,648.90 is: 3,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.33 : 1,648.90 = 1,648.90 : x
  2. Step 2: Convert to fraction form
    807.33/1,648.90 = 1,648.90/x
  3. Step 3: Cross multiply
    807.33x = 1,648.90 × 1,648.90
  4. Step 4: Simplify right side
    807.33x = 2,718,866.06
  5. Step 5: Solve for x
    x = 2,718,866.06/807.33
  6. Step 6: Final answer
    x = 3,367.73

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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.