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Finding the Third Proportional to 35,511.75 and 82,217.25

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Solution

The third proportional to 35,511.75 and 82,217.25 is: 190,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511.75 : 82,217.25 = 82,217.25 : x
  2. Step 2: Convert to fraction form
    35,511.75/82,217.25 = 82,217.25/x
  3. Step 3: Cross multiply
    35,511.75x = 82,217.25 × 82,217.25
  4. Step 4: Simplify right side
    35,511.75x = 6,759,676,197.56
  5. Step 5: Solve for x
    x = 6,759,676,197.56/35,511.75
  6. Step 6: Final answer
    x = 190,350.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.