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Finding the Third Proportional to 1,764.28 and 3,836.11

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Solution

The third proportional to 1,764.28 and 3,836.11 is: 8,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.28 : 3,836.11 = 3,836.11 : x
  2. Step 2: Convert to fraction form
    1,764.28/3,836.11 = 3,836.11/x
  3. Step 3: Cross multiply
    1,764.28x = 3,836.11 × 3,836.11
  4. Step 4: Simplify right side
    1,764.28x = 14,715,735.14
  5. Step 5: Solve for x
    x = 14,715,735.14/1,764.28
  6. Step 6: Final answer
    x = 8,340.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.