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Finding the Third Proportional to 33,115.50 and 36,031.50

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Solution

The third proportional to 33,115.50 and 36,031.50 is: 39,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.50 : 36,031.50 = 36,031.50 : x
  2. Step 2: Convert to fraction form
    33,115.50/36,031.50 = 36,031.50/x
  3. Step 3: Cross multiply
    33,115.50x = 36,031.50 × 36,031.50
  4. Step 4: Simplify right side
    33,115.50x = 1,298,268,992.25
  5. Step 5: Solve for x
    x = 1,298,268,992.25/33,115.50
  6. Step 6: Final answer
    x = 39,204.27

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.