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Finding the Third Proportional to 2,279.81 and 3,436.17

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Solution

The third proportional to 2,279.81 and 3,436.17 is: 5,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.81 : 3,436.17 = 3,436.17 : x
  2. Step 2: Convert to fraction form
    2,279.81/3,436.17 = 3,436.17/x
  3. Step 3: Cross multiply
    2,279.81x = 3,436.17 × 3,436.17
  4. Step 4: Simplify right side
    2,279.81x = 11,807,277.15
  5. Step 5: Solve for x
    x = 11,807,277.15/2,279.81
  6. Step 6: Final answer
    x = 5,179.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.