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Finding the Third Proportional to 33,671 and 73,237

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Solution

The third proportional to 33,671 and 73,237 is: 159,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671 : 73,237 = 73,237 : x
  2. Step 2: Convert to fraction form
    33,671/73,237 = 73,237/x
  3. Step 3: Cross multiply
    33,671x = 73,237 × 73,237
  4. Step 4: Simplify right side
    33,671x = 5,363,658,169
  5. Step 5: Solve for x
    x = 5,363,658,169/33,671
  6. Step 6: Final answer
    x = 159,296.08

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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.