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Finding the Third Proportional to 26,716 and 37,974

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Solution

The third proportional to 26,716 and 37,974 is: 53,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716 : 37,974 = 37,974 : x
  2. Step 2: Convert to fraction form
    26,716/37,974 = 37,974/x
  3. Step 3: Cross multiply
    26,716x = 37,974 × 37,974
  4. Step 4: Simplify right side
    26,716x = 1,442,024,676
  5. Step 5: Solve for x
    x = 1,442,024,676/26,716
  6. Step 6: Final answer
    x = 53,976.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.