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Finding the Third Proportional to 32,843 and 50,958

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Solution

The third proportional to 32,843 and 50,958 is: 79,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843 : 50,958 = 50,958 : x
  2. Step 2: Convert to fraction form
    32,843/50,958 = 50,958/x
  3. Step 3: Cross multiply
    32,843x = 50,958 × 50,958
  4. Step 4: Simplify right side
    32,843x = 2,596,717,764
  5. Step 5: Solve for x
    x = 2,596,717,764/32,843
  6. Step 6: Final answer
    x = 79,064.57

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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.