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Finding the Third Proportional to 5,459 and 6,161

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Solution

The third proportional to 5,459 and 6,161 is: 6,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459 : 6,161 = 6,161 : x
  2. Step 2: Convert to fraction form
    5,459/6,161 = 6,161/x
  3. Step 3: Cross multiply
    5,459x = 6,161 × 6,161
  4. Step 4: Simplify right side
    5,459x = 37,957,921
  5. Step 5: Solve for x
    x = 37,957,921/5,459
  6. Step 6: Final answer
    x = 6,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.