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Finding the Third Proportional to 26,716 and 57,986

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Solution

The third proportional to 26,716 and 57,986 is: 125,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716 : 57,986 = 57,986 : x
  2. Step 2: Convert to fraction form
    26,716/57,986 = 57,986/x
  3. Step 3: Cross multiply
    26,716x = 57,986 × 57,986
  4. Step 4: Simplify right side
    26,716x = 3,362,376,196
  5. Step 5: Solve for x
    x = 3,362,376,196/26,716
  6. Step 6: Final answer
    x = 125,856.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.