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Finding the Third Proportional to 13,494.09 and 20,427.19

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Solution

The third proportional to 13,494.09 and 20,427.19 is: 30,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.09 : 20,427.19 = 20,427.19 : x
  2. Step 2: Convert to fraction form
    13,494.09/20,427.19 = 20,427.19/x
  3. Step 3: Cross multiply
    13,494.09x = 20,427.19 × 20,427.19
  4. Step 4: Simplify right side
    13,494.09x = 417,269,989.16
  5. Step 5: Solve for x
    x = 417,269,989.16/13,494.09
  6. Step 6: Final answer
    x = 30,922.42

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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.