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Finding the Third Proportional to 37,975 and 81,789

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Solution

The third proportional to 37,975 and 81,789 is: 176,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975 : 81,789 = 81,789 : x
  2. Step 2: Convert to fraction form
    37,975/81,789 = 81,789/x
  3. Step 3: Cross multiply
    37,975x = 81,789 × 81,789
  4. Step 4: Simplify right side
    37,975x = 6,689,440,521
  5. Step 5: Solve for x
    x = 6,689,440,521/37,975
  6. Step 6: Final answer
    x = 176,153.80

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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.