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Finding the Third Proportional to 37,542 and 81,573

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Solution

The third proportional to 37,542 and 81,573 is: 177,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 81,573 = 81,573 : x
  2. Step 2: Convert to fraction form
    37,542/81,573 = 81,573/x
  3. Step 3: Cross multiply
    37,542x = 81,573 × 81,573
  4. Step 4: Simplify right side
    37,542x = 6,654,154,329
  5. Step 5: Solve for x
    x = 6,654,154,329/37,542
  6. Step 6: Final answer
    x = 177,245.60

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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.