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Finding the Third Proportional to 37,206 and 57,624.75

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Solution

The third proportional to 37,206 and 57,624.75 is: 89,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 57,624.75 = 57,624.75 : x
  2. Step 2: Convert to fraction form
    37,206/57,624.75 = 57,624.75/x
  3. Step 3: Cross multiply
    37,206x = 57,624.75 × 57,624.75
  4. Step 4: Simplify right side
    37,206x = 3,320,611,812.56
  5. Step 5: Solve for x
    x = 3,320,611,812.56/37,206
  6. Step 6: Final answer
    x = 89,249.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.