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Finding the Third Proportional to 32,933 and 51,071

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Solution

The third proportional to 32,933 and 51,071 is: 79,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933 : 51,071 = 51,071 : x
  2. Step 2: Convert to fraction form
    32,933/51,071 = 51,071/x
  3. Step 3: Cross multiply
    32,933x = 51,071 × 51,071
  4. Step 4: Simplify right side
    32,933x = 2,608,247,041
  5. Step 5: Solve for x
    x = 2,608,247,041/32,933
  6. Step 6: Final answer
    x = 79,198.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.