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Finding the Third Proportional to 26,039 and 53,924

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Solution

The third proportional to 26,039 and 53,924 is: 111,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,039 : 53,924 = 53,924 : x
  2. Step 2: Convert to fraction form
    26,039/53,924 = 53,924/x
  3. Step 3: Cross multiply
    26,039x = 53,924 × 53,924
  4. Step 4: Simplify right side
    26,039x = 2,907,797,776
  5. Step 5: Solve for x
    x = 2,907,797,776/26,039
  6. Step 6: Final answer
    x = 111,670.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.