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Finding the Third Proportional to 23,121 and 49,509

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Solution

The third proportional to 23,121 and 49,509 is: 106,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121 : 49,509 = 49,509 : x
  2. Step 2: Convert to fraction form
    23,121/49,509 = 49,509/x
  3. Step 3: Cross multiply
    23,121x = 49,509 × 49,509
  4. Step 4: Simplify right side
    23,121x = 2,451,141,081
  5. Step 5: Solve for x
    x = 2,451,141,081/23,121
  6. Step 6: Final answer
    x = 106,013.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.