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Finding the Third Proportional to 12,233.53 and 19,443.80

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Solution

The third proportional to 12,233.53 and 19,443.80 is: 30,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 19,443.80 = 19,443.80 : x
  2. Step 2: Convert to fraction form
    12,233.53/19,443.80 = 19,443.80/x
  3. Step 3: Cross multiply
    12,233.53x = 19,443.80 × 19,443.80
  4. Step 4: Simplify right side
    12,233.53x = 378,061,236.92
  5. Step 5: Solve for x
    x = 378,061,236.92/12,233.53
  6. Step 6: Final answer
    x = 30,903.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.