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Finding the Third Proportional to 32,997 and 79,747

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Solution

The third proportional to 32,997 and 79,747 is: 192,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997 : 79,747 = 79,747 : x
  2. Step 2: Convert to fraction form
    32,997/79,747 = 79,747/x
  3. Step 3: Cross multiply
    32,997x = 79,747 × 79,747
  4. Step 4: Simplify right side
    32,997x = 6,359,584,009
  5. Step 5: Solve for x
    x = 6,359,584,009/32,997
  6. Step 6: Final answer
    x = 192,732.19

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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.