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Finding the Third Proportional to 12,187.97 and 16,812.56

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Solution

The third proportional to 12,187.97 and 16,812.56 is: 23,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.97 : 16,812.56 = 16,812.56 : x
  2. Step 2: Convert to fraction form
    12,187.97/16,812.56 = 16,812.56/x
  3. Step 3: Cross multiply
    12,187.97x = 16,812.56 × 16,812.56
  4. Step 4: Simplify right side
    12,187.97x = 282,662,257.82
  5. Step 5: Solve for x
    x = 282,662,257.82/12,187.97
  6. Step 6: Final answer
    x = 23,191.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.