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Finding the Third Proportional to 13,793.34 and 19,423.69

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Solution

The third proportional to 13,793.34 and 19,423.69 is: 27,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.34 : 19,423.69 = 19,423.69 : x
  2. Step 2: Convert to fraction form
    13,793.34/19,423.69 = 19,423.69/x
  3. Step 3: Cross multiply
    13,793.34x = 19,423.69 × 19,423.69
  4. Step 4: Simplify right side
    13,793.34x = 377,279,636.10
  5. Step 5: Solve for x
    x = 377,279,636.10/13,793.34
  6. Step 6: Final answer
    x = 27,352.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.