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Finding the Third Proportional to 30,991 and 40,927

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Solution

The third proportional to 30,991 and 40,927 is: 54,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991 : 40,927 = 40,927 : x
  2. Step 2: Convert to fraction form
    30,991/40,927 = 40,927/x
  3. Step 3: Cross multiply
    30,991x = 40,927 × 40,927
  4. Step 4: Simplify right side
    30,991x = 1,675,019,329
  5. Step 5: Solve for x
    x = 1,675,019,329/30,991
  6. Step 6: Final answer
    x = 54,048.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.