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Finding the Third Proportional to 32,992 and 79,740

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Solution

The third proportional to 32,992 and 79,740 is: 192,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992 : 79,740 = 79,740 : x
  2. Step 2: Convert to fraction form
    32,992/79,740 = 79,740/x
  3. Step 3: Cross multiply
    32,992x = 79,740 × 79,740
  4. Step 4: Simplify right side
    32,992x = 6,358,467,600
  5. Step 5: Solve for x
    x = 6,358,467,600/32,992
  6. Step 6: Final answer
    x = 192,727.56

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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.