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Finding the Third Proportional to 33,618.50 and 72,423.50

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Solution

The third proportional to 33,618.50 and 72,423.50 is: 156,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618.50 : 72,423.50 = 72,423.50 : x
  2. Step 2: Convert to fraction form
    33,618.50/72,423.50 = 72,423.50/x
  3. Step 3: Cross multiply
    33,618.50x = 72,423.50 × 72,423.50
  4. Step 4: Simplify right side
    33,618.50x = 5,245,163,352.25
  5. Step 5: Solve for x
    x = 5,245,163,352.25/33,618.50
  6. Step 6: Final answer
    x = 156,020.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.