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Finding the Third Proportional to 12,083.63 and 17,016.75

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Solution

The third proportional to 12,083.63 and 17,016.75 is: 23,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.63 : 17,016.75 = 17,016.75 : x
  2. Step 2: Convert to fraction form
    12,083.63/17,016.75 = 17,016.75/x
  3. Step 3: Cross multiply
    12,083.63x = 17,016.75 × 17,016.75
  4. Step 4: Simplify right side
    12,083.63x = 289,569,780.56
  5. Step 5: Solve for x
    x = 289,569,780.56/12,083.63
  6. Step 6: Final answer
    x = 23,963.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.