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Finding the Third Proportional to 23,091 and 49,713

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Solution

The third proportional to 23,091 and 49,713 is: 107,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091 : 49,713 = 49,713 : x
  2. Step 2: Convert to fraction form
    23,091/49,713 = 49,713/x
  3. Step 3: Cross multiply
    23,091x = 49,713 × 49,713
  4. Step 4: Simplify right side
    23,091x = 2,471,382,369
  5. Step 5: Solve for x
    x = 2,471,382,369/23,091
  6. Step 6: Final answer
    x = 107,027.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.