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Finding the Third Proportional to 3,781.69 and 6,948.28

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Solution

The third proportional to 3,781.69 and 6,948.28 is: 12,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 6,948.28 = 6,948.28 : x
  2. Step 2: Convert to fraction form
    3,781.69/6,948.28 = 6,948.28/x
  3. Step 3: Cross multiply
    3,781.69x = 6,948.28 × 6,948.28
  4. Step 4: Simplify right side
    3,781.69x = 48,278,612.33
  5. Step 5: Solve for x
    x = 48,278,612.33/3,781.69
  6. Step 6: Final answer
    x = 12,766.42

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.