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Finding the Third Proportional to 22,978 and 46,927

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Solution

The third proportional to 22,978 and 46,927 is: 95,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978 : 46,927 = 46,927 : x
  2. Step 2: Convert to fraction form
    22,978/46,927 = 46,927/x
  3. Step 3: Cross multiply
    22,978x = 46,927 × 46,927
  4. Step 4: Simplify right side
    22,978x = 2,202,143,329
  5. Step 5: Solve for x
    x = 2,202,143,329/22,978
  6. Step 6: Final answer
    x = 95,837.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.