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Finding the Third Proportional to 17,084.25 and 36,132.75

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Solution

The third proportional to 17,084.25 and 36,132.75 is: 76,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.25 : 36,132.75 = 36,132.75 : x
  2. Step 2: Convert to fraction form
    17,084.25/36,132.75 = 36,132.75/x
  3. Step 3: Cross multiply
    17,084.25x = 36,132.75 × 36,132.75
  4. Step 4: Simplify right side
    17,084.25x = 1,305,575,622.56
  5. Step 5: Solve for x
    x = 1,305,575,622.56/17,084.25
  6. Step 6: Final answer
    x = 76,419.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.