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Finding the Third Proportional to 12,327.19 and 18,485.72

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Solution

The third proportional to 12,327.19 and 18,485.72 is: 27,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.19 : 18,485.72 = 18,485.72 : x
  2. Step 2: Convert to fraction form
    12,327.19/18,485.72 = 18,485.72/x
  3. Step 3: Cross multiply
    12,327.19x = 18,485.72 × 18,485.72
  4. Step 4: Simplify right side
    12,327.19x = 341,721,797.70
  5. Step 5: Solve for x
    x = 341,721,797.70/12,327.19
  6. Step 6: Final answer
    x = 27,720.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.