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Finding the Third Proportional to 37,657 and 80,318

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Solution

The third proportional to 37,657 and 80,318 is: 171,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 80,318 = 80,318 : x
  2. Step 2: Convert to fraction form
    37,657/80,318 = 80,318/x
  3. Step 3: Cross multiply
    37,657x = 80,318 × 80,318
  4. Step 4: Simplify right side
    37,657x = 6,450,981,124
  5. Step 5: Solve for x
    x = 6,450,981,124/37,657
  6. Step 6: Final answer
    x = 171,308.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.