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Finding the Third Proportional to 11,115 and 17,198.25

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Solution

The third proportional to 11,115 and 17,198.25 is: 26,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115 : 17,198.25 = 17,198.25 : x
  2. Step 2: Convert to fraction form
    11,115/17,198.25 = 17,198.25/x
  3. Step 3: Cross multiply
    11,115x = 17,198.25 × 17,198.25
  4. Step 4: Simplify right side
    11,115x = 295,779,803.06
  5. Step 5: Solve for x
    x = 295,779,803.06/11,115
  6. Step 6: Final answer
    x = 26,610.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.