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Finding the Third Proportional to 7,687.41 and 11,951.30

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Solution

The third proportional to 7,687.41 and 11,951.30 is: 18,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.41 : 11,951.30 = 11,951.30 : x
  2. Step 2: Convert to fraction form
    7,687.41/11,951.30 = 11,951.30/x
  3. Step 3: Cross multiply
    7,687.41x = 11,951.30 × 11,951.30
  4. Step 4: Simplify right side
    7,687.41x = 142,833,496.99
  5. Step 5: Solve for x
    x = 142,833,496.99/7,687.41
  6. Step 6: Final answer
    x = 18,580.19

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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.