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Finding the Third Proportional to 26,998 and 40,869

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Solution

The third proportional to 26,998 and 40,869 is: 61,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,998 : 40,869 = 40,869 : x
  2. Step 2: Convert to fraction form
    26,998/40,869 = 40,869/x
  3. Step 3: Cross multiply
    26,998x = 40,869 × 40,869
  4. Step 4: Simplify right side
    26,998x = 1,670,275,161
  5. Step 5: Solve for x
    x = 1,670,275,161/26,998
  6. Step 6: Final answer
    x = 61,866.63

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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.