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Finding the Third Proportional to 7,694.44 and 11,774.81

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Solution

The third proportional to 7,694.44 and 11,774.81 is: 18,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.44 : 11,774.81 = 11,774.81 : x
  2. Step 2: Convert to fraction form
    7,694.44/11,774.81 = 11,774.81/x
  3. Step 3: Cross multiply
    7,694.44x = 11,774.81 × 11,774.81
  4. Step 4: Simplify right side
    7,694.44x = 138,646,209.41
  5. Step 5: Solve for x
    x = 138,646,209.41/7,694.44
  6. Step 6: Final answer
    x = 18,019.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.