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Finding the Third Proportional to 5,760.75 and 13,489.88

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Solution

The third proportional to 5,760.75 and 13,489.88 is: 31,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.75 : 13,489.88 = 13,489.88 : x
  2. Step 2: Convert to fraction form
    5,760.75/13,489.88 = 13,489.88/x
  3. Step 3: Cross multiply
    5,760.75x = 13,489.88 × 13,489.88
  4. Step 4: Simplify right side
    5,760.75x = 181,976,727.52
  5. Step 5: Solve for x
    x = 181,976,727.52/5,760.75
  6. Step 6: Final answer
    x = 31,589.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.