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Finding the Third Proportional to 33,588 and 73,318

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Solution

The third proportional to 33,588 and 73,318 is: 160,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 73,318 = 73,318 : x
  2. Step 2: Convert to fraction form
    33,588/73,318 = 73,318/x
  3. Step 3: Cross multiply
    33,588x = 73,318 × 73,318
  4. Step 4: Simplify right side
    33,588x = 5,375,529,124
  5. Step 5: Solve for x
    x = 5,375,529,124/33,588
  6. Step 6: Final answer
    x = 160,043.14

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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.