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Finding the Third Proportional to 15,912 and 33,993

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Solution

The third proportional to 15,912 and 33,993 is: 72,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912 : 33,993 = 33,993 : x
  2. Step 2: Convert to fraction form
    15,912/33,993 = 33,993/x
  3. Step 3: Cross multiply
    15,912x = 33,993 × 33,993
  4. Step 4: Simplify right side
    15,912x = 1,155,524,049
  5. Step 5: Solve for x
    x = 1,155,524,049/15,912
  6. Step 6: Final answer
    x = 72,619.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.