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Finding the Third Proportional to 32,212.69 and 65,331.56

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Solution

The third proportional to 32,212.69 and 65,331.56 is: 132,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.69 : 65,331.56 = 65,331.56 : x
  2. Step 2: Convert to fraction form
    32,212.69/65,331.56 = 65,331.56/x
  3. Step 3: Cross multiply
    32,212.69x = 65,331.56 × 65,331.56
  4. Step 4: Simplify right side
    32,212.69x = 4,268,213,058.69
  5. Step 5: Solve for x
    x = 4,268,213,058.69/32,212.69
  6. Step 6: Final answer
    x = 132,500.99

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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.