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Finding the Third Proportional to 21,977 and 34,941

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Solution

The third proportional to 21,977 and 34,941 is: 55,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977 : 34,941 = 34,941 : x
  2. Step 2: Convert to fraction form
    21,977/34,941 = 34,941/x
  3. Step 3: Cross multiply
    21,977x = 34,941 × 34,941
  4. Step 4: Simplify right side
    21,977x = 1,220,873,481
  5. Step 5: Solve for x
    x = 1,220,873,481/21,977
  6. Step 6: Final answer
    x = 55,552.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.