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Finding the Third Proportional to 11,982.94 and 19,288.13

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Solution

The third proportional to 11,982.94 and 19,288.13 is: 31,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.94 : 19,288.13 = 19,288.13 : x
  2. Step 2: Convert to fraction form
    11,982.94/19,288.13 = 19,288.13/x
  3. Step 3: Cross multiply
    11,982.94x = 19,288.13 × 19,288.13
  4. Step 4: Simplify right side
    11,982.94x = 372,031,766.02
  5. Step 5: Solve for x
    x = 372,031,766.02/11,982.94
  6. Step 6: Final answer
    x = 31,046.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.