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Finding the Third Proportional to 886.57 and 1,949.70

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Solution

The third proportional to 886.57 and 1,949.70 is: 4,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.57 : 1,949.70 = 1,949.70 : x
  2. Step 2: Convert to fraction form
    886.57/1,949.70 = 1,949.70/x
  3. Step 3: Cross multiply
    886.57x = 1,949.70 × 1,949.70
  4. Step 4: Simplify right side
    886.57x = 3,801,311.81
  5. Step 5: Solve for x
    x = 3,801,311.81/886.57
  6. Step 6: Final answer
    x = 4,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.