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Finding the Third Proportional to 1,163.81 and 2,152.13

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Solution

The third proportional to 1,163.81 and 2,152.13 is: 3,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.81 : 2,152.13 = 2,152.13 : x
  2. Step 2: Convert to fraction form
    1,163.81/2,152.13 = 2,152.13/x
  3. Step 3: Cross multiply
    1,163.81x = 2,152.13 × 2,152.13
  4. Step 4: Simplify right side
    1,163.81x = 4,631,642.02
  5. Step 5: Solve for x
    x = 4,631,642.02/1,163.81
  6. Step 6: Final answer
    x = 3,979.71

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.