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Finding the Third Proportional to 26,236 and 55,974

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Solution

The third proportional to 26,236 and 55,974 is: 119,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,236 : 55,974 = 55,974 : x
  2. Step 2: Convert to fraction form
    26,236/55,974 = 55,974/x
  3. Step 3: Cross multiply
    26,236x = 55,974 × 55,974
  4. Step 4: Simplify right side
    26,236x = 3,133,088,676
  5. Step 5: Solve for x
    x = 3,133,088,676/26,236
  6. Step 6: Final answer
    x = 119,419.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.