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Finding the Third Proportional to 6,975 and 9,755.44

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Solution

The third proportional to 6,975 and 9,755.44 is: 13,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 9,755.44 = 9,755.44 : x
  2. Step 2: Convert to fraction form
    6,975/9,755.44 = 9,755.44/x
  3. Step 3: Cross multiply
    6,975x = 9,755.44 × 9,755.44
  4. Step 4: Simplify right side
    6,975x = 95,168,560.82
  5. Step 5: Solve for x
    x = 95,168,560.82/6,975
  6. Step 6: Final answer
    x = 13,644.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.