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Finding the Third Proportional to 26,986 and 40,856

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Solution

The third proportional to 26,986 and 40,856 is: 61,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986 : 40,856 = 40,856 : x
  2. Step 2: Convert to fraction form
    26,986/40,856 = 40,856/x
  3. Step 3: Cross multiply
    26,986x = 40,856 × 40,856
  4. Step 4: Simplify right side
    26,986x = 1,669,212,736
  5. Step 5: Solve for x
    x = 1,669,212,736/26,986
  6. Step 6: Final answer
    x = 61,854.77

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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.