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Finding the Third Proportional to 2,184.19 and 3,296.81

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Solution

The third proportional to 2,184.19 and 3,296.81 is: 4,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.19 : 3,296.81 = 3,296.81 : x
  2. Step 2: Convert to fraction form
    2,184.19/3,296.81 = 3,296.81/x
  3. Step 3: Cross multiply
    2,184.19x = 3,296.81 × 3,296.81
  4. Step 4: Simplify right side
    2,184.19x = 10,868,972.66
  5. Step 5: Solve for x
    x = 10,868,972.66/2,184.19
  6. Step 6: Final answer
    x = 4,976.21

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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.