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Finding the Third Proportional to 9,267.75 and 10,536.75

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Solution

The third proportional to 9,267.75 and 10,536.75 is: 11,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 10,536.75 = 10,536.75 : x
  2. Step 2: Convert to fraction form
    9,267.75/10,536.75 = 10,536.75/x
  3. Step 3: Cross multiply
    9,267.75x = 10,536.75 × 10,536.75
  4. Step 4: Simplify right side
    9,267.75x = 111,023,100.56
  5. Step 5: Solve for x
    x = 111,023,100.56/9,267.75
  6. Step 6: Final answer
    x = 11,979.51

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