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Finding the Third Proportional to 15,914 and 36,993

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Solution

The third proportional to 15,914 and 36,993 is: 85,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 36,993 = 36,993 : x
  2. Step 2: Convert to fraction form
    15,914/36,993 = 36,993/x
  3. Step 3: Cross multiply
    15,914x = 36,993 × 36,993
  4. Step 4: Simplify right side
    15,914x = 1,368,482,049
  5. Step 5: Solve for x
    x = 1,368,482,049/15,914
  6. Step 6: Final answer
    x = 85,992.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.