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Finding the Third Proportional to 37,687 and 82,772

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Solution

The third proportional to 37,687 and 82,772 is: 181,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687 : 82,772 = 82,772 : x
  2. Step 2: Convert to fraction form
    37,687/82,772 = 82,772/x
  3. Step 3: Cross multiply
    37,687x = 82,772 × 82,772
  4. Step 4: Simplify right side
    37,687x = 6,851,203,984
  5. Step 5: Solve for x
    x = 6,851,203,984/37,687
  6. Step 6: Final answer
    x = 181,792.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.