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Finding the Third Proportional to 6,414 and 7,338

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Solution

The third proportional to 6,414 and 7,338 is: 8,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 7,338 = 7,338 : x
  2. Step 2: Convert to fraction form
    6,414/7,338 = 7,338/x
  3. Step 3: Cross multiply
    6,414x = 7,338 × 7,338
  4. Step 4: Simplify right side
    6,414x = 53,846,244
  5. Step 5: Solve for x
    x = 53,846,244/6,414
  6. Step 6: Final answer
    x = 8,395.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.