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Finding the Third Proportional to 33,930.14 and 49,908.66

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Solution

The third proportional to 33,930.14 and 49,908.66 is: 73,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.14 : 49,908.66 = 49,908.66 : x
  2. Step 2: Convert to fraction form
    33,930.14/49,908.66 = 49,908.66/x
  3. Step 3: Cross multiply
    33,930.14x = 49,908.66 × 49,908.66
  4. Step 4: Simplify right side
    33,930.14x = 2,490,873,968.68
  5. Step 5: Solve for x
    x = 2,490,873,968.68/33,930.14
  6. Step 6: Final answer
    x = 73,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.