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Finding the Third Proportional to 33,686.51 and 50,530.71

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Solution

The third proportional to 33,686.51 and 50,530.71 is: 75,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.51 : 50,530.71 = 50,530.71 : x
  2. Step 2: Convert to fraction form
    33,686.51/50,530.71 = 50,530.71/x
  3. Step 3: Cross multiply
    33,686.51x = 50,530.71 × 50,530.71
  4. Step 4: Simplify right side
    33,686.51x = 2,553,352,747.85
  5. Step 5: Solve for x
    x = 2,553,352,747.85/33,686.51
  6. Step 6: Final answer
    x = 75,797.49

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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.