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Finding the Third Proportional to 33,416 and 78,932

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Solution

The third proportional to 33,416 and 78,932 is: 186,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416 : 78,932 = 78,932 : x
  2. Step 2: Convert to fraction form
    33,416/78,932 = 78,932/x
  3. Step 3: Cross multiply
    33,416x = 78,932 × 78,932
  4. Step 4: Simplify right side
    33,416x = 6,230,260,624
  5. Step 5: Solve for x
    x = 6,230,260,624/33,416
  6. Step 6: Final answer
    x = 186,445.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.