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Finding the Third Proportional to 4,274 and 9,187

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Solution

The third proportional to 4,274 and 9,187 is: 19,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274 : 9,187 = 9,187 : x
  2. Step 2: Convert to fraction form
    4,274/9,187 = 9,187/x
  3. Step 3: Cross multiply
    4,274x = 9,187 × 9,187
  4. Step 4: Simplify right side
    4,274x = 84,400,969
  5. Step 5: Solve for x
    x = 84,400,969/4,274
  6. Step 6: Final answer
    x = 19,747.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.