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Finding the Third Proportional to 12,601.41 and 17,167.78

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Solution

The third proportional to 12,601.41 and 17,167.78 is: 23,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601.41 : 17,167.78 = 17,167.78 : x
  2. Step 2: Convert to fraction form
    12,601.41/17,167.78 = 17,167.78/x
  3. Step 3: Cross multiply
    12,601.41x = 17,167.78 × 17,167.78
  4. Step 4: Simplify right side
    12,601.41x = 294,732,713.05
  5. Step 5: Solve for x
    x = 294,732,713.05/12,601.41
  6. Step 6: Final answer
    x = 23,388.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.