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Finding the Third Proportional to 32,406.75 and 67,059

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Solution

The third proportional to 32,406.75 and 67,059 is: 138,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.75 : 67,059 = 67,059 : x
  2. Step 2: Convert to fraction form
    32,406.75/67,059 = 67,059/x
  3. Step 3: Cross multiply
    32,406.75x = 67,059 × 67,059
  4. Step 4: Simplify right side
    32,406.75x = 4,496,909,481
  5. Step 5: Solve for x
    x = 4,496,909,481/32,406.75
  6. Step 6: Final answer
    x = 138,764.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.