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Finding the Third Proportional to 33,583 and 73,160

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Solution

The third proportional to 33,583 and 73,160 is: 159,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583 : 73,160 = 73,160 : x
  2. Step 2: Convert to fraction form
    33,583/73,160 = 73,160/x
  3. Step 3: Cross multiply
    33,583x = 73,160 × 73,160
  4. Step 4: Simplify right side
    33,583x = 5,352,385,600
  5. Step 5: Solve for x
    x = 5,352,385,600/33,583
  6. Step 6: Final answer
    x = 159,377.83

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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.