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Finding the Third Proportional to 21,919.50 and 32,879.25

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Solution

The third proportional to 21,919.50 and 32,879.25 is: 49,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.50 : 32,879.25 = 32,879.25 : x
  2. Step 2: Convert to fraction form
    21,919.50/32,879.25 = 32,879.25/x
  3. Step 3: Cross multiply
    21,919.50x = 32,879.25 × 32,879.25
  4. Step 4: Simplify right side
    21,919.50x = 1,081,045,080.56
  5. Step 5: Solve for x
    x = 1,081,045,080.56/21,919.50
  6. Step 6: Final answer
    x = 49,318.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.