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Finding the Third Proportional to 37,600 and 81,684

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Solution

The third proportional to 37,600 and 81,684 is: 177,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600 : 81,684 = 81,684 : x
  2. Step 2: Convert to fraction form
    37,600/81,684 = 81,684/x
  3. Step 3: Cross multiply
    37,600x = 81,684 × 81,684
  4. Step 4: Simplify right side
    37,600x = 6,672,275,856
  5. Step 5: Solve for x
    x = 6,672,275,856/37,600
  6. Step 6: Final answer
    x = 177,454.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.