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Finding the Third Proportional to 20,033.50 and 43,279.50

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Solution

The third proportional to 20,033.50 and 43,279.50 is: 93,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.50 : 43,279.50 = 43,279.50 : x
  2. Step 2: Convert to fraction form
    20,033.50/43,279.50 = 43,279.50/x
  3. Step 3: Cross multiply
    20,033.50x = 43,279.50 × 43,279.50
  4. Step 4: Simplify right side
    20,033.50x = 1,873,115,120.25
  5. Step 5: Solve for x
    x = 1,873,115,120.25/20,033.50
  6. Step 6: Final answer
    x = 93,499.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.