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Finding the Third Proportional to 3,930 and 6,165

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Solution

The third proportional to 3,930 and 6,165 is: 9,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930 : 6,165 = 6,165 : x
  2. Step 2: Convert to fraction form
    3,930/6,165 = 6,165/x
  3. Step 3: Cross multiply
    3,930x = 6,165 × 6,165
  4. Step 4: Simplify right side
    3,930x = 38,007,225
  5. Step 5: Solve for x
    x = 38,007,225/3,930
  6. Step 6: Final answer
    x = 9,671.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.