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Finding the Third Proportional to 32,200.88 and 65,311.31

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Solution

The third proportional to 32,200.88 and 65,311.31 is: 132,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.88 : 65,311.31 = 65,311.31 : x
  2. Step 2: Convert to fraction form
    32,200.88/65,311.31 = 65,311.31/x
  3. Step 3: Cross multiply
    32,200.88x = 65,311.31 × 65,311.31
  4. Step 4: Simplify right side
    32,200.88x = 4,265,567,540.47
  5. Step 5: Solve for x
    x = 4,265,567,540.47/32,200.88
  6. Step 6: Final answer
    x = 132,467.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.