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Finding the Third Proportional to 1,163.81 and 1,563.19

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Solution

The third proportional to 1,163.81 and 1,563.19 is: 2,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.81 : 1,563.19 = 1,563.19 : x
  2. Step 2: Convert to fraction form
    1,163.81/1,563.19 = 1,563.19/x
  3. Step 3: Cross multiply
    1,163.81x = 1,563.19 × 1,563.19
  4. Step 4: Simplify right side
    1,163.81x = 2,443,555.16
  5. Step 5: Solve for x
    x = 2,443,555.16/1,163.81
  6. Step 6: Final answer
    x = 2,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.