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Finding the Third Proportional to 3,854 and 4,414

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Solution

The third proportional to 3,854 and 4,414 is: 5,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 4,414 = 4,414 : x
  2. Step 2: Convert to fraction form
    3,854/4,414 = 4,414/x
  3. Step 3: Cross multiply
    3,854x = 4,414 × 4,414
  4. Step 4: Simplify right side
    3,854x = 19,483,396
  5. Step 5: Solve for x
    x = 19,483,396/3,854
  6. Step 6: Final answer
    x = 5,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.