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Finding the Third Proportional to 14,183.44 and 21,453.19

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Solution

The third proportional to 14,183.44 and 21,453.19 is: 32,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.44 : 21,453.19 = 21,453.19 : x
  2. Step 2: Convert to fraction form
    14,183.44/21,453.19 = 21,453.19/x
  3. Step 3: Cross multiply
    14,183.44x = 21,453.19 × 21,453.19
  4. Step 4: Simplify right side
    14,183.44x = 460,239,253.91
  5. Step 5: Solve for x
    x = 460,239,253.91/14,183.44
  6. Step 6: Final answer
    x = 32,449.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.