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Finding the Third Proportional to 6,837 and 10,239

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Solution

The third proportional to 6,837 and 10,239 is: 15,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 10,239 = 10,239 : x
  2. Step 2: Convert to fraction form
    6,837/10,239 = 10,239/x
  3. Step 3: Cross multiply
    6,837x = 10,239 × 10,239
  4. Step 4: Simplify right side
    6,837x = 104,837,121
  5. Step 5: Solve for x
    x = 104,837,121/6,837
  6. Step 6: Final answer
    x = 15,333.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.