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Finding the Third Proportional to 13,535.44 and 20,190.94

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Solution

The third proportional to 13,535.44 and 20,190.94 is: 30,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.44 : 20,190.94 = 20,190.94 : x
  2. Step 2: Convert to fraction form
    13,535.44/20,190.94 = 20,190.94/x
  3. Step 3: Cross multiply
    13,535.44x = 20,190.94 × 20,190.94
  4. Step 4: Simplify right side
    13,535.44x = 407,673,957.13
  5. Step 5: Solve for x
    x = 407,673,957.13/13,535.44
  6. Step 6: Final answer
    x = 30,119.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.