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Finding the Third Proportional to 837.28 and 1,774.97

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Solution

The third proportional to 837.28 and 1,774.97 is: 3,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.28 : 1,774.97 = 1,774.97 : x
  2. Step 2: Convert to fraction form
    837.28/1,774.97 = 1,774.97/x
  3. Step 3: Cross multiply
    837.28x = 1,774.97 × 1,774.97
  4. Step 4: Simplify right side
    837.28x = 3,150,514.06
  5. Step 5: Solve for x
    x = 3,150,514.06/837.28
  6. Step 6: Final answer
    x = 3,762.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.