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Finding the Third Proportional to 1,441.88 and 3,165.94

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Solution

The third proportional to 1,441.88 and 3,165.94 is: 6,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.88 : 3,165.94 = 3,165.94 : x
  2. Step 2: Convert to fraction form
    1,441.88/3,165.94 = 3,165.94/x
  3. Step 3: Cross multiply
    1,441.88x = 3,165.94 × 3,165.94
  4. Step 4: Simplify right side
    1,441.88x = 10,023,160.25
  5. Step 5: Solve for x
    x = 10,023,160.25/1,441.88
  6. Step 6: Final answer
    x = 6,951.48

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