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Finding the Third Proportional to 4,414 and 6,187

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Solution

The third proportional to 4,414 and 6,187 is: 8,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,187 = 6,187 : x
  2. Step 2: Convert to fraction form
    4,414/6,187 = 6,187/x
  3. Step 3: Cross multiply
    4,414x = 6,187 × 6,187
  4. Step 4: Simplify right side
    4,414x = 38,278,969
  5. Step 5: Solve for x
    x = 38,278,969/4,414
  6. Step 6: Final answer
    x = 8,672.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.