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Finding the Third Proportional to 13,832.44 and 21,291.19

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Solution

The third proportional to 13,832.44 and 21,291.19 is: 32,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.44 : 21,291.19 = 21,291.19 : x
  2. Step 2: Convert to fraction form
    13,832.44/21,291.19 = 21,291.19/x
  3. Step 3: Cross multiply
    13,832.44x = 21,291.19 × 21,291.19
  4. Step 4: Simplify right side
    13,832.44x = 453,314,665.16
  5. Step 5: Solve for x
    x = 453,314,665.16/13,832.44
  6. Step 6: Final answer
    x = 32,771.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.