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Finding the Third Proportional to 23,091.05 and 49,977.33

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Solution

The third proportional to 23,091.05 and 49,977.33 is: 108,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.05 : 49,977.33 = 49,977.33 : x
  2. Step 2: Convert to fraction form
    23,091.05/49,977.33 = 49,977.33/x
  3. Step 3: Cross multiply
    23,091.05x = 49,977.33 × 49,977.33
  4. Step 4: Simplify right side
    23,091.05x = 2,497,733,326.51
  5. Step 5: Solve for x
    x = 2,497,733,326.51/23,091.05
  6. Step 6: Final answer
    x = 108,168.91

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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.