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Finding the Third Proportional to 1,854.82 and 3,778.24

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Solution

The third proportional to 1,854.82 and 3,778.24 is: 7,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.82 : 3,778.24 = 3,778.24 : x
  2. Step 2: Convert to fraction form
    1,854.82/3,778.24 = 3,778.24/x
  3. Step 3: Cross multiply
    1,854.82x = 3,778.24 × 3,778.24
  4. Step 4: Simplify right side
    1,854.82x = 14,275,114.03
  5. Step 5: Solve for x
    x = 14,275,114.03/1,854.82
  6. Step 6: Final answer
    x = 7,696.22

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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.