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Finding the Third Proportional to 8,408.25 and 13,011.75

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Solution

The third proportional to 8,408.25 and 13,011.75 is: 20,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.25 : 13,011.75 = 13,011.75 : x
  2. Step 2: Convert to fraction form
    8,408.25/13,011.75 = 13,011.75/x
  3. Step 3: Cross multiply
    8,408.25x = 13,011.75 × 13,011.75
  4. Step 4: Simplify right side
    8,408.25x = 169,305,638.06
  5. Step 5: Solve for x
    x = 169,305,638.06/8,408.25
  6. Step 6: Final answer
    x = 20,135.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.