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Finding the Third Proportional to 13,169.53 and 20,193.47

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Solution

The third proportional to 13,169.53 and 20,193.47 is: 30,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.53 : 20,193.47 = 20,193.47 : x
  2. Step 2: Convert to fraction form
    13,169.53/20,193.47 = 20,193.47/x
  3. Step 3: Cross multiply
    13,169.53x = 20,193.47 × 20,193.47
  4. Step 4: Simplify right side
    13,169.53x = 407,776,180.16
  5. Step 5: Solve for x
    x = 407,776,180.16/13,169.53
  6. Step 6: Final answer
    x = 30,963.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.