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Finding the Third Proportional to 26,075 and 55,382

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Solution

The third proportional to 26,075 and 55,382 is: 117,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075 : 55,382 = 55,382 : x
  2. Step 2: Convert to fraction form
    26,075/55,382 = 55,382/x
  3. Step 3: Cross multiply
    26,075x = 55,382 × 55,382
  4. Step 4: Simplify right side
    26,075x = 3,067,165,924
  5. Step 5: Solve for x
    x = 3,067,165,924/26,075
  6. Step 6: Final answer
    x = 117,628.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.