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Finding the Third Proportional to 6,816 and 15,892

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Solution

The third proportional to 6,816 and 15,892 is: 37,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 15,892 = 15,892 : x
  2. Step 2: Convert to fraction form
    6,816/15,892 = 15,892/x
  3. Step 3: Cross multiply
    6,816x = 15,892 × 15,892
  4. Step 4: Simplify right side
    6,816x = 252,555,664
  5. Step 5: Solve for x
    x = 252,555,664/6,816
  6. Step 6: Final answer
    x = 37,053.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.