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Finding the Third Proportional to 5,701 and 6,241

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Solution

The third proportional to 5,701 and 6,241 is: 6,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701 : 6,241 = 6,241 : x
  2. Step 2: Convert to fraction form
    5,701/6,241 = 6,241/x
  3. Step 3: Cross multiply
    5,701x = 6,241 × 6,241
  4. Step 4: Simplify right side
    5,701x = 38,950,081
  5. Step 5: Solve for x
    x = 38,950,081/5,701
  6. Step 6: Final answer
    x = 6,832.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.