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Finding the Third Proportional to 33,983.50 and 79,011

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Solution

The third proportional to 33,983.50 and 79,011 is: 183,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.50 : 79,011 = 79,011 : x
  2. Step 2: Convert to fraction form
    33,983.50/79,011 = 79,011/x
  3. Step 3: Cross multiply
    33,983.50x = 79,011 × 79,011
  4. Step 4: Simplify right side
    33,983.50x = 6,242,738,121
  5. Step 5: Solve for x
    x = 6,242,738,121/33,983.50
  6. Step 6: Final answer
    x = 183,699.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.