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Finding the Third Proportional to 5,662.13 and 8,326.75

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Solution

The third proportional to 5,662.13 and 8,326.75 is: 12,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.13 : 8,326.75 = 8,326.75 : x
  2. Step 2: Convert to fraction form
    5,662.13/8,326.75 = 8,326.75/x
  3. Step 3: Cross multiply
    5,662.13x = 8,326.75 × 8,326.75
  4. Step 4: Simplify right side
    5,662.13x = 69,334,765.56
  5. Step 5: Solve for x
    x = 69,334,765.56/5,662.13
  6. Step 6: Final answer
    x = 12,245.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.