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Finding the Third Proportional to 16,219.50 and 34,530.75

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Solution

The third proportional to 16,219.50 and 34,530.75 is: 73,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.50 : 34,530.75 = 34,530.75 : x
  2. Step 2: Convert to fraction form
    16,219.50/34,530.75 = 34,530.75/x
  3. Step 3: Cross multiply
    16,219.50x = 34,530.75 × 34,530.75
  4. Step 4: Simplify right side
    16,219.50x = 1,192,372,695.56
  5. Step 5: Solve for x
    x = 1,192,372,695.56/16,219.50
  6. Step 6: Final answer
    x = 73,514.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.