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Finding the Third Proportional to 32,969 and 79,689

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Solution

The third proportional to 32,969 and 79,689 is: 192,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 79,689 = 79,689 : x
  2. Step 2: Convert to fraction form
    32,969/79,689 = 79,689/x
  3. Step 3: Cross multiply
    32,969x = 79,689 × 79,689
  4. Step 4: Simplify right side
    32,969x = 6,350,336,721
  5. Step 5: Solve for x
    x = 6,350,336,721/32,969
  6. Step 6: Final answer
    x = 192,615.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.