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Finding the Third Proportional to 2,288.81 and 3,433.78

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Solution

The third proportional to 2,288.81 and 3,433.78 is: 5,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.81 : 3,433.78 = 3,433.78 : x
  2. Step 2: Convert to fraction form
    2,288.81/3,433.78 = 3,433.78/x
  3. Step 3: Cross multiply
    2,288.81x = 3,433.78 × 3,433.78
  4. Step 4: Simplify right side
    2,288.81x = 11,790,853.67
  5. Step 5: Solve for x
    x = 11,790,853.67/2,288.81
  6. Step 6: Final answer
    x = 5,151.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.