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Finding the Third Proportional to 26,144 and 39,458

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Solution

The third proportional to 26,144 and 39,458 is: 59,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 39,458 = 39,458 : x
  2. Step 2: Convert to fraction form
    26,144/39,458 = 39,458/x
  3. Step 3: Cross multiply
    26,144x = 39,458 × 39,458
  4. Step 4: Simplify right side
    26,144x = 1,556,933,764
  5. Step 5: Solve for x
    x = 1,556,933,764/26,144
  6. Step 6: Final answer
    x = 59,552.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.