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Finding the Third Proportional to 5,414 and 5,906

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Solution

The third proportional to 5,414 and 5,906 is: 6,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 5,906 = 5,906 : x
  2. Step 2: Convert to fraction form
    5,414/5,906 = 5,906/x
  3. Step 3: Cross multiply
    5,414x = 5,906 × 5,906
  4. Step 4: Simplify right side
    5,414x = 34,880,836
  5. Step 5: Solve for x
    x = 34,880,836/5,414
  6. Step 6: Final answer
    x = 6,442.71

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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.