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Finding the Third Proportional to 4,279.50 and 8,989.31

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Solution

The third proportional to 4,279.50 and 8,989.31 is: 18,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.50 : 8,989.31 = 8,989.31 : x
  2. Step 2: Convert to fraction form
    4,279.50/8,989.31 = 8,989.31/x
  3. Step 3: Cross multiply
    4,279.50x = 8,989.31 × 8,989.31
  4. Step 4: Simplify right side
    4,279.50x = 80,807,739.22
  5. Step 5: Solve for x
    x = 80,807,739.22/4,279.50
  6. Step 6: Final answer
    x = 18,882.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.