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Finding the Third Proportional to 37,573 and 79,337

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Solution

The third proportional to 37,573 and 79,337 is: 167,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 79,337 = 79,337 : x
  2. Step 2: Convert to fraction form
    37,573/79,337 = 79,337/x
  3. Step 3: Cross multiply
    37,573x = 79,337 × 79,337
  4. Step 4: Simplify right side
    37,573x = 6,294,359,569
  5. Step 5: Solve for x
    x = 6,294,359,569/37,573
  6. Step 6: Final answer
    x = 167,523.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.