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Finding the Third Proportional to 26,440 and 49,100

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Solution

The third proportional to 26,440 and 49,100 is: 91,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440 : 49,100 = 49,100 : x
  2. Step 2: Convert to fraction form
    26,440/49,100 = 49,100/x
  3. Step 3: Cross multiply
    26,440x = 49,100 × 49,100
  4. Step 4: Simplify right side
    26,440x = 2,410,810,000
  5. Step 5: Solve for x
    x = 2,410,810,000/26,440
  6. Step 6: Final answer
    x = 91,180.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.