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Finding the Third Proportional to 8,412.75 and 13,197.75

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Solution

The third proportional to 8,412.75 and 13,197.75 is: 20,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.75 : 13,197.75 = 13,197.75 : x
  2. Step 2: Convert to fraction form
    8,412.75/13,197.75 = 13,197.75/x
  3. Step 3: Cross multiply
    8,412.75x = 13,197.75 × 13,197.75
  4. Step 4: Simplify right side
    8,412.75x = 174,180,605.06
  5. Step 5: Solve for x
    x = 174,180,605.06/8,412.75
  6. Step 6: Final answer
    x = 20,704.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.