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Finding the Third Proportional to 33,930 and 72,367.50

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Solution

The third proportional to 33,930 and 72,367.50 is: 154,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 72,367.50 = 72,367.50 : x
  2. Step 2: Convert to fraction form
    33,930/72,367.50 = 72,367.50/x
  3. Step 3: Cross multiply
    33,930x = 72,367.50 × 72,367.50
  4. Step 4: Simplify right side
    33,930x = 5,237,055,056.25
  5. Step 5: Solve for x
    x = 5,237,055,056.25/33,930
  6. Step 6: Final answer
    x = 154,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.