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Finding the Third Proportional to 33,694.50 and 73,365

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Solution

The third proportional to 33,694.50 and 73,365 is: 159,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.50 : 73,365 = 73,365 : x
  2. Step 2: Convert to fraction form
    33,694.50/73,365 = 73,365/x
  3. Step 3: Cross multiply
    33,694.50x = 73,365 × 73,365
  4. Step 4: Simplify right side
    33,694.50x = 5,382,423,225
  5. Step 5: Solve for x
    x = 5,382,423,225/33,694.50
  6. Step 6: Final answer
    x = 159,741.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.