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Finding the Third Proportional to 36,960 and 83,785

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Solution

The third proportional to 36,960 and 83,785 is: 189,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 83,785 = 83,785 : x
  2. Step 2: Convert to fraction form
    36,960/83,785 = 83,785/x
  3. Step 3: Cross multiply
    36,960x = 83,785 × 83,785
  4. Step 4: Simplify right side
    36,960x = 7,019,926,225
  5. Step 5: Solve for x
    x = 7,019,926,225/36,960
  6. Step 6: Final answer
    x = 189,933.07

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.