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Finding the Third Proportional to 8,662.88 and 13,408.31

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Solution

The third proportional to 8,662.88 and 13,408.31 is: 20,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.88 : 13,408.31 = 13,408.31 : x
  2. Step 2: Convert to fraction form
    8,662.88/13,408.31 = 13,408.31/x
  3. Step 3: Cross multiply
    8,662.88x = 13,408.31 × 13,408.31
  4. Step 4: Simplify right side
    8,662.88x = 179,782,844.10
  5. Step 5: Solve for x
    x = 179,782,844.10/8,662.88
  6. Step 6: Final answer
    x = 20,753.25

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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.