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Finding the Third Proportional to 3,738 and 9,165

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Solution

The third proportional to 3,738 and 9,165 is: 22,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738 : 9,165 = 9,165 : x
  2. Step 2: Convert to fraction form
    3,738/9,165 = 9,165/x
  3. Step 3: Cross multiply
    3,738x = 9,165 × 9,165
  4. Step 4: Simplify right side
    3,738x = 83,997,225
  5. Step 5: Solve for x
    x = 83,997,225/3,738
  6. Step 6: Final answer
    x = 22,471.17

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.