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Finding the Third Proportional to 9,537.75 and 10,950.19

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Solution

The third proportional to 9,537.75 and 10,950.19 is: 12,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 10,950.19 = 10,950.19 : x
  2. Step 2: Convert to fraction form
    9,537.75/10,950.19 = 10,950.19/x
  3. Step 3: Cross multiply
    9,537.75x = 10,950.19 × 10,950.19
  4. Step 4: Simplify right side
    9,537.75x = 119,906,606.29
  5. Step 5: Solve for x
    x = 119,906,606.29/9,537.75
  6. Step 6: Final answer
    x = 12,571.79

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.