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Finding the Third Proportional to 22,901.06 and 49,717.97

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Solution

The third proportional to 22,901.06 and 49,717.97 is: 107,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.06 : 49,717.97 = 49,717.97 : x
  2. Step 2: Convert to fraction form
    22,901.06/49,717.97 = 49,717.97/x
  3. Step 3: Cross multiply
    22,901.06x = 49,717.97 × 49,717.97
  4. Step 4: Simplify right side
    22,901.06x = 2,471,876,416.63
  5. Step 5: Solve for x
    x = 2,471,876,416.63/22,901.06
  6. Step 6: Final answer
    x = 107,937.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.