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Finding the Third Proportional to 1,371.66 and 3,023.44

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Solution

The third proportional to 1,371.66 and 3,023.44 is: 6,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.66 : 3,023.44 = 3,023.44 : x
  2. Step 2: Convert to fraction form
    1,371.66/3,023.44 = 3,023.44/x
  3. Step 3: Cross multiply
    1,371.66x = 3,023.44 × 3,023.44
  4. Step 4: Simplify right side
    1,371.66x = 9,141,174.32
  5. Step 5: Solve for x
    x = 9,141,174.32/1,371.66
  6. Step 6: Final answer
    x = 6,664.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.