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Finding the Third Proportional to 19,931 and 41,927

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Solution

The third proportional to 19,931 and 41,927 is: 88,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931 : 41,927 = 41,927 : x
  2. Step 2: Convert to fraction form
    19,931/41,927 = 41,927/x
  3. Step 3: Cross multiply
    19,931x = 41,927 × 41,927
  4. Step 4: Simplify right side
    19,931x = 1,757,873,329
  5. Step 5: Solve for x
    x = 1,757,873,329/19,931
  6. Step 6: Final answer
    x = 88,197.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.