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Finding the Third Proportional to 13,671.60 and 20,520.21

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Solution

The third proportional to 13,671.60 and 20,520.21 is: 30,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.60 : 20,520.21 = 20,520.21 : x
  2. Step 2: Convert to fraction form
    13,671.60/20,520.21 = 20,520.21/x
  3. Step 3: Cross multiply
    13,671.60x = 20,520.21 × 20,520.21
  4. Step 4: Simplify right side
    13,671.60x = 421,079,056.92
  5. Step 5: Solve for x
    x = 421,079,056.92/13,671.60
  6. Step 6: Final answer
    x = 30,799.55

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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.