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Finding the Third Proportional to 9,195.75 and 12,227.63

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Solution

The third proportional to 9,195.75 and 12,227.63 is: 16,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.75 : 12,227.63 = 12,227.63 : x
  2. Step 2: Convert to fraction form
    9,195.75/12,227.63 = 12,227.63/x
  3. Step 3: Cross multiply
    9,195.75x = 12,227.63 × 12,227.63
  4. Step 4: Simplify right side
    9,195.75x = 149,514,813.14
  5. Step 5: Solve for x
    x = 149,514,813.14/9,195.75
  6. Step 6: Final answer
    x = 16,259.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.