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Finding the Third Proportional to 8,617.31 and 12,194.25

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Solution

The third proportional to 8,617.31 and 12,194.25 is: 17,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.31 : 12,194.25 = 12,194.25 : x
  2. Step 2: Convert to fraction form
    8,617.31/12,194.25 = 12,194.25/x
  3. Step 3: Cross multiply
    8,617.31x = 12,194.25 × 12,194.25
  4. Step 4: Simplify right side
    8,617.31x = 148,699,733.06
  5. Step 5: Solve for x
    x = 148,699,733.06/8,617.31
  6. Step 6: Final answer
    x = 17,255.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.