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Finding the Third Proportional to 33,236 and 72,484

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Solution

The third proportional to 33,236 and 72,484 is: 158,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236 : 72,484 = 72,484 : x
  2. Step 2: Convert to fraction form
    33,236/72,484 = 72,484/x
  3. Step 3: Cross multiply
    33,236x = 72,484 × 72,484
  4. Step 4: Simplify right side
    33,236x = 5,253,930,256
  5. Step 5: Solve for x
    x = 5,253,930,256/33,236
  6. Step 6: Final answer
    x = 158,079.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.