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Finding the Third Proportional to 12,001.92 and 17,694.70

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Solution

The third proportional to 12,001.92 and 17,694.70 is: 26,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.92 : 17,694.70 = 17,694.70 : x
  2. Step 2: Convert to fraction form
    12,001.92/17,694.70 = 17,694.70/x
  3. Step 3: Cross multiply
    12,001.92x = 17,694.70 × 17,694.70
  4. Step 4: Simplify right side
    12,001.92x = 313,102,518.68
  5. Step 5: Solve for x
    x = 313,102,518.68/12,001.92
  6. Step 6: Final answer
    x = 26,087.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.