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Finding the Third Proportional to 26,694 and 61,790

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Solution

The third proportional to 26,694 and 61,790 is: 143,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694 : 61,790 = 61,790 : x
  2. Step 2: Convert to fraction form
    26,694/61,790 = 61,790/x
  3. Step 3: Cross multiply
    26,694x = 61,790 × 61,790
  4. Step 4: Simplify right side
    26,694x = 3,818,004,100
  5. Step 5: Solve for x
    x = 3,818,004,100/26,694
  6. Step 6: Final answer
    x = 143,028.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.