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Finding the Third Proportional to 32,811 and 69,723

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Solution

The third proportional to 32,811 and 69,723 is: 148,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811 : 69,723 = 69,723 : x
  2. Step 2: Convert to fraction form
    32,811/69,723 = 69,723/x
  3. Step 3: Cross multiply
    32,811x = 69,723 × 69,723
  4. Step 4: Simplify right side
    32,811x = 4,861,296,729
  5. Step 5: Solve for x
    x = 4,861,296,729/32,811
  6. Step 6: Final answer
    x = 148,160.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.