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Finding the Third Proportional to 6,782 and 15,845

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Solution

The third proportional to 6,782 and 15,845 is: 37,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 15,845 = 15,845 : x
  2. Step 2: Convert to fraction form
    6,782/15,845 = 15,845/x
  3. Step 3: Cross multiply
    6,782x = 15,845 × 15,845
  4. Step 4: Simplify right side
    6,782x = 251,064,025
  5. Step 5: Solve for x
    x = 251,064,025/6,782
  6. Step 6: Final answer
    x = 37,019.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.