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Finding the Third Proportional to 26,998 and 55,075

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Solution

The third proportional to 26,998 and 55,075 is: 112,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,998 : 55,075 = 55,075 : x
  2. Step 2: Convert to fraction form
    26,998/55,075 = 55,075/x
  3. Step 3: Cross multiply
    26,998x = 55,075 × 55,075
  4. Step 4: Simplify right side
    26,998x = 3,033,255,625
  5. Step 5: Solve for x
    x = 3,033,255,625/26,998
  6. Step 6: Final answer
    x = 112,351.12

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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.