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Finding the Third Proportional to 32,975 and 79,772

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Solution

The third proportional to 32,975 and 79,772 is: 192,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975 : 79,772 = 79,772 : x
  2. Step 2: Convert to fraction form
    32,975/79,772 = 79,772/x
  3. Step 3: Cross multiply
    32,975x = 79,772 × 79,772
  4. Step 4: Simplify right side
    32,975x = 6,363,571,984
  5. Step 5: Solve for x
    x = 6,363,571,984/32,975
  6. Step 6: Final answer
    x = 192,981.71

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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.