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Finding the Third Proportional to 2,166.75 and 4,377.80

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Solution

The third proportional to 2,166.75 and 4,377.80 is: 8,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 4,377.80 = 4,377.80 : x
  2. Step 2: Convert to fraction form
    2,166.75/4,377.80 = 4,377.80/x
  3. Step 3: Cross multiply
    2,166.75x = 4,377.80 × 4,377.80
  4. Step 4: Simplify right side
    2,166.75x = 19,165,105.48
  5. Step 5: Solve for x
    x = 19,165,105.48/2,166.75
  6. Step 6: Final answer
    x = 8,845.09

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.