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Finding the Third Proportional to 23,107 and 49,816

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Solution

The third proportional to 23,107 and 49,816 is: 107,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107 : 49,816 = 49,816 : x
  2. Step 2: Convert to fraction form
    23,107/49,816 = 49,816/x
  3. Step 3: Cross multiply
    23,107x = 49,816 × 49,816
  4. Step 4: Simplify right side
    23,107x = 2,481,633,856
  5. Step 5: Solve for x
    x = 2,481,633,856/23,107
  6. Step 6: Final answer
    x = 107,397.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.