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Finding the Third Proportional to 913.22 and 1,882.13

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Solution

The third proportional to 913.22 and 1,882.13 is: 3,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.22 : 1,882.13 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    913.22/1,882.13 = 1,882.13/x
  3. Step 3: Cross multiply
    913.22x = 1,882.13 × 1,882.13
  4. Step 4: Simplify right side
    913.22x = 3,542,394.52
  5. Step 5: Solve for x
    x = 3,542,394.52/913.22
  6. Step 6: Final answer
    x = 3,879.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.