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Finding the Third Proportional to 5,461 and 8,241

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Solution

The third proportional to 5,461 and 8,241 is: 12,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461 : 8,241 = 8,241 : x
  2. Step 2: Convert to fraction form
    5,461/8,241 = 8,241/x
  3. Step 3: Cross multiply
    5,461x = 8,241 × 8,241
  4. Step 4: Simplify right side
    5,461x = 67,914,081
  5. Step 5: Solve for x
    x = 67,914,081/5,461
  6. Step 6: Final answer
    x = 12,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.