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Finding the Third Proportional to 5,626.13 and 10,963.69

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Solution

The third proportional to 5,626.13 and 10,963.69 is: 21,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.13 : 10,963.69 = 10,963.69 : x
  2. Step 2: Convert to fraction form
    5,626.13/10,963.69 = 10,963.69/x
  3. Step 3: Cross multiply
    5,626.13x = 10,963.69 × 10,963.69
  4. Step 4: Simplify right side
    5,626.13x = 120,202,443.60
  5. Step 5: Solve for x
    x = 120,202,443.60/5,626.13
  6. Step 6: Final answer
    x = 21,365.05

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.