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Finding the Third Proportional to 33,555 and 79,171.50

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Solution

The third proportional to 33,555 and 79,171.50 is: 186,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,555 : 79,171.50 = 79,171.50 : x
  2. Step 2: Convert to fraction form
    33,555/79,171.50 = 79,171.50/x
  3. Step 3: Cross multiply
    33,555x = 79,171.50 × 79,171.50
  4. Step 4: Simplify right side
    33,555x = 6,268,126,412.25
  5. Step 5: Solve for x
    x = 6,268,126,412.25/33,555
  6. Step 6: Final answer
    x = 186,801.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.