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Finding the Third Proportional to 9,330.75 and 10,545.75

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Solution

The third proportional to 9,330.75 and 10,545.75 is: 11,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.75 : 10,545.75 = 10,545.75 : x
  2. Step 2: Convert to fraction form
    9,330.75/10,545.75 = 10,545.75/x
  3. Step 3: Cross multiply
    9,330.75x = 10,545.75 × 10,545.75
  4. Step 4: Simplify right side
    9,330.75x = 111,212,843.06
  5. Step 5: Solve for x
    x = 111,212,843.06/9,330.75
  6. Step 6: Final answer
    x = 11,918.96

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.