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Finding the Third Proportional to 5,469 and 7,305.75

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Solution

The third proportional to 5,469 and 7,305.75 is: 9,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469 : 7,305.75 = 7,305.75 : x
  2. Step 2: Convert to fraction form
    5,469/7,305.75 = 7,305.75/x
  3. Step 3: Cross multiply
    5,469x = 7,305.75 × 7,305.75
  4. Step 4: Simplify right side
    5,469x = 53,373,983.06
  5. Step 5: Solve for x
    x = 53,373,983.06/5,469
  6. Step 6: Final answer
    x = 9,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.