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Finding the Third Proportional to 13,234.35 and 19,880.92

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Solution

The third proportional to 13,234.35 and 19,880.92 is: 29,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.35 : 19,880.92 = 19,880.92 : x
  2. Step 2: Convert to fraction form
    13,234.35/19,880.92 = 19,880.92/x
  3. Step 3: Cross multiply
    13,234.35x = 19,880.92 × 19,880.92
  4. Step 4: Simplify right side
    13,234.35x = 395,251,108.60
  5. Step 5: Solve for x
    x = 395,251,108.60/13,234.35
  6. Step 6: Final answer
    x = 29,865.54

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