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Finding the Third Proportional to 35,781.75 and 82,215

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Solution

The third proportional to 35,781.75 and 82,215 is: 188,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.75 : 82,215 = 82,215 : x
  2. Step 2: Convert to fraction form
    35,781.75/82,215 = 82,215/x
  3. Step 3: Cross multiply
    35,781.75x = 82,215 × 82,215
  4. Step 4: Simplify right side
    35,781.75x = 6,759,306,225
  5. Step 5: Solve for x
    x = 6,759,306,225/35,781.75
  6. Step 6: Final answer
    x = 188,903.74

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.