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Finding the Third Proportional to 13,429.55 and 20,195.58

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Solution

The third proportional to 13,429.55 and 20,195.58 is: 30,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.55 : 20,195.58 = 20,195.58 : x
  2. Step 2: Convert to fraction form
    13,429.55/20,195.58 = 20,195.58/x
  3. Step 3: Cross multiply
    13,429.55x = 20,195.58 × 20,195.58
  4. Step 4: Simplify right side
    13,429.55x = 407,861,375.80
  5. Step 5: Solve for x
    x = 407,861,375.80/13,429.55
  6. Step 6: Final answer
    x = 30,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.