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Finding the Third Proportional to 2,158.31 and 3,385.69

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Solution

The third proportional to 2,158.31 and 3,385.69 is: 5,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.31 : 3,385.69 = 3,385.69 : x
  2. Step 2: Convert to fraction form
    2,158.31/3,385.69 = 3,385.69/x
  3. Step 3: Cross multiply
    2,158.31x = 3,385.69 × 3,385.69
  4. Step 4: Simplify right side
    2,158.31x = 11,462,879.85
  5. Step 5: Solve for x
    x = 11,462,879.85/2,158.31
  6. Step 6: Final answer
    x = 5,311.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.