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Finding the Third Proportional to 5,086.13 and 11,723.06

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Solution

The third proportional to 5,086.13 and 11,723.06 is: 27,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.13 : 11,723.06 = 11,723.06 : x
  2. Step 2: Convert to fraction form
    5,086.13/11,723.06 = 11,723.06/x
  3. Step 3: Cross multiply
    5,086.13x = 11,723.06 × 11,723.06
  4. Step 4: Simplify right side
    5,086.13x = 137,430,194.38
  5. Step 5: Solve for x
    x = 137,430,194.38/5,086.13
  6. Step 6: Final answer
    x = 27,020.61

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.