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Finding the Third Proportional to 6,298 and 8,351

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Solution

The third proportional to 6,298 and 8,351 is: 11,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 8,351 = 8,351 : x
  2. Step 2: Convert to fraction form
    6,298/8,351 = 8,351/x
  3. Step 3: Cross multiply
    6,298x = 8,351 × 8,351
  4. Step 4: Simplify right side
    6,298x = 69,739,201
  5. Step 5: Solve for x
    x = 69,739,201/6,298
  6. Step 6: Final answer
    x = 11,073.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.