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Finding the Third Proportional to 3,484 and 5,161

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Solution

The third proportional to 3,484 and 5,161 is: 7,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484 : 5,161 = 5,161 : x
  2. Step 2: Convert to fraction form
    3,484/5,161 = 5,161/x
  3. Step 3: Cross multiply
    3,484x = 5,161 × 5,161
  4. Step 4: Simplify right side
    3,484x = 26,635,921
  5. Step 5: Solve for x
    x = 26,635,921/3,484
  6. Step 6: Final answer
    x = 7,645.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.