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Finding the Third Proportional to 6,854 and 15,993

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Solution

The third proportional to 6,854 and 15,993 is: 37,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854 : 15,993 = 15,993 : x
  2. Step 2: Convert to fraction form
    6,854/15,993 = 15,993/x
  3. Step 3: Cross multiply
    6,854x = 15,993 × 15,993
  4. Step 4: Simplify right side
    6,854x = 255,776,049
  5. Step 5: Solve for x
    x = 255,776,049/6,854
  6. Step 6: Final answer
    x = 37,317.78

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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.