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Finding the Third Proportional to 33,854.63 and 50,783.63

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Solution

The third proportional to 33,854.63 and 50,783.63 is: 76,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854.63 : 50,783.63 = 50,783.63 : x
  2. Step 2: Convert to fraction form
    33,854.63/50,783.63 = 50,783.63/x
  3. Step 3: Cross multiply
    33,854.63x = 50,783.63 × 50,783.63
  4. Step 4: Simplify right side
    33,854.63x = 2,578,976,568.14
  5. Step 5: Solve for x
    x = 2,578,976,568.14/33,854.63
  6. Step 6: Final answer
    x = 76,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.