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Finding the Third Proportional to 9,757.13 and 11,169.56

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Solution

The third proportional to 9,757.13 and 11,169.56 is: 12,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.13 : 11,169.56 = 11,169.56 : x
  2. Step 2: Convert to fraction form
    9,757.13/11,169.56 = 11,169.56/x
  3. Step 3: Cross multiply
    9,757.13x = 11,169.56 × 11,169.56
  4. Step 4: Simplify right side
    9,757.13x = 124,759,126.44
  5. Step 5: Solve for x
    x = 124,759,126.44/9,757.13
  6. Step 6: Final answer
    x = 12,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.