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Finding the Third Proportional to 6,837 and 10,305

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Solution

The third proportional to 6,837 and 10,305 is: 15,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 10,305 = 10,305 : x
  2. Step 2: Convert to fraction form
    6,837/10,305 = 10,305/x
  3. Step 3: Cross multiply
    6,837x = 10,305 × 10,305
  4. Step 4: Simplify right side
    6,837x = 106,193,025
  5. Step 5: Solve for x
    x = 106,193,025/6,837
  6. Step 6: Final answer
    x = 15,532.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.