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Finding the Third Proportional to 8,532.75 and 13,163.75

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Solution

The third proportional to 8,532.75 and 13,163.75 is: 20,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.75 : 13,163.75 = 13,163.75 : x
  2. Step 2: Convert to fraction form
    8,532.75/13,163.75 = 13,163.75/x
  3. Step 3: Cross multiply
    8,532.75x = 13,163.75 × 13,163.75
  4. Step 4: Simplify right side
    8,532.75x = 173,284,314.06
  5. Step 5: Solve for x
    x = 173,284,314.06/8,532.75
  6. Step 6: Final answer
    x = 20,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.