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Finding the Third Proportional to 36,837 and 57,624.75

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Solution

The third proportional to 36,837 and 57,624.75 is: 90,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,837 : 57,624.75 = 57,624.75 : x
  2. Step 2: Convert to fraction form
    36,837/57,624.75 = 57,624.75/x
  3. Step 3: Cross multiply
    36,837x = 57,624.75 × 57,624.75
  4. Step 4: Simplify right side
    36,837x = 3,320,611,812.56
  5. Step 5: Solve for x
    x = 3,320,611,812.56/36,837
  6. Step 6: Final answer
    x = 90,143.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.