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Finding the Third Proportional to 886.68 and 1,932.82

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Solution

The third proportional to 886.68 and 1,932.82 is: 4,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.68 : 1,932.82 = 1,932.82 : x
  2. Step 2: Convert to fraction form
    886.68/1,932.82 = 1,932.82/x
  3. Step 3: Cross multiply
    886.68x = 1,932.82 × 1,932.82
  4. Step 4: Simplify right side
    886.68x = 3,735,794.36
  5. Step 5: Solve for x
    x = 3,735,794.36/886.68
  6. Step 6: Final answer
    x = 4,213.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.