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Finding the Third Proportional to 886.57 and 1,932.61

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Solution

The third proportional to 886.57 and 1,932.61 is: 4,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.57 : 1,932.61 = 1,932.61 : x
  2. Step 2: Convert to fraction form
    886.57/1,932.61 = 1,932.61/x
  3. Step 3: Cross multiply
    886.57x = 1,932.61 × 1,932.61
  4. Step 4: Simplify right side
    886.57x = 3,734,979.00
  5. Step 5: Solve for x
    x = 3,734,979.00/886.57
  6. Step 6: Final answer
    x = 4,212.84

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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.