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Finding the Third Proportional to 12,097.13 and 18,328.50

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Solution

The third proportional to 12,097.13 and 18,328.50 is: 27,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.13 : 18,328.50 = 18,328.50 : x
  2. Step 2: Convert to fraction form
    12,097.13/18,328.50 = 18,328.50/x
  3. Step 3: Cross multiply
    12,097.13x = 18,328.50 × 18,328.50
  4. Step 4: Simplify right side
    12,097.13x = 335,933,912.25
  5. Step 5: Solve for x
    x = 335,933,912.25/12,097.13
  6. Step 6: Final answer
    x = 27,769.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.