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Finding the Third Proportional to 26,986 and 57,260

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Solution

The third proportional to 26,986 and 57,260 is: 121,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986 : 57,260 = 57,260 : x
  2. Step 2: Convert to fraction form
    26,986/57,260 = 57,260/x
  3. Step 3: Cross multiply
    26,986x = 57,260 × 57,260
  4. Step 4: Simplify right side
    26,986x = 3,278,707,600
  5. Step 5: Solve for x
    x = 3,278,707,600/26,986
  6. Step 6: Final answer
    x = 121,496.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.