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Finding the Third Proportional to 5,769 and 6,617.25

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Solution

The third proportional to 5,769 and 6,617.25 is: 7,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769 : 6,617.25 = 6,617.25 : x
  2. Step 2: Convert to fraction form
    5,769/6,617.25 = 6,617.25/x
  3. Step 3: Cross multiply
    5,769x = 6,617.25 × 6,617.25
  4. Step 4: Simplify right side
    5,769x = 43,787,997.56
  5. Step 5: Solve for x
    x = 43,787,997.56/5,769
  6. Step 6: Final answer
    x = 7,590.22

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.