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Finding the Third Proportional to 37,534 and 80,588

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Solution

The third proportional to 37,534 and 80,588 is: 173,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534 : 80,588 = 80,588 : x
  2. Step 2: Convert to fraction form
    37,534/80,588 = 80,588/x
  3. Step 3: Cross multiply
    37,534x = 80,588 × 80,588
  4. Step 4: Simplify right side
    37,534x = 6,494,425,744
  5. Step 5: Solve for x
    x = 6,494,425,744/37,534
  6. Step 6: Final answer
    x = 173,027.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.