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Finding the Third Proportional to 8,371.88 and 12,243.56

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Solution

The third proportional to 8,371.88 and 12,243.56 is: 17,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.88 : 12,243.56 = 12,243.56 : x
  2. Step 2: Convert to fraction form
    8,371.88/12,243.56 = 12,243.56/x
  3. Step 3: Cross multiply
    8,371.88x = 12,243.56 × 12,243.56
  4. Step 4: Simplify right side
    8,371.88x = 149,904,822.69
  5. Step 5: Solve for x
    x = 149,904,822.69/8,371.88
  6. Step 6: Final answer
    x = 17,905.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.