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Finding the Third Proportional to 3,905 and 6,019

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Solution

The third proportional to 3,905 and 6,019 is: 9,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905 : 6,019 = 6,019 : x
  2. Step 2: Convert to fraction form
    3,905/6,019 = 6,019/x
  3. Step 3: Cross multiply
    3,905x = 6,019 × 6,019
  4. Step 4: Simplify right side
    3,905x = 36,228,361
  5. Step 5: Solve for x
    x = 36,228,361/3,905
  6. Step 6: Final answer
    x = 9,277.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.