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Finding the Third Proportional to 33,915 and 51,661.50

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Solution

The third proportional to 33,915 and 51,661.50 is: 78,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,915 : 51,661.50 = 51,661.50 : x
  2. Step 2: Convert to fraction form
    33,915/51,661.50 = 51,661.50/x
  3. Step 3: Cross multiply
    33,915x = 51,661.50 × 51,661.50
  4. Step 4: Simplify right side
    33,915x = 2,668,910,582.25
  5. Step 5: Solve for x
    x = 2,668,910,582.25/33,915
  6. Step 6: Final answer
    x = 78,694.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.