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Finding the Third Proportional to 5,995.75 and 9,077.25

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Solution

The third proportional to 5,995.75 and 9,077.25 is: 13,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.75 : 9,077.25 = 9,077.25 : x
  2. Step 2: Convert to fraction form
    5,995.75/9,077.25 = 9,077.25/x
  3. Step 3: Cross multiply
    5,995.75x = 9,077.25 × 9,077.25
  4. Step 4: Simplify right side
    5,995.75x = 82,396,467.56
  5. Step 5: Solve for x
    x = 82,396,467.56/5,995.75
  6. Step 6: Final answer
    x = 13,742.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.