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Finding the Third Proportional to 36,959 and 83,785

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Solution

The third proportional to 36,959 and 83,785 is: 189,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,959 : 83,785 = 83,785 : x
  2. Step 2: Convert to fraction form
    36,959/83,785 = 83,785/x
  3. Step 3: Cross multiply
    36,959x = 83,785 × 83,785
  4. Step 4: Simplify right side
    36,959x = 7,019,926,225
  5. Step 5: Solve for x
    x = 7,019,926,225/36,959
  6. Step 6: Final answer
    x = 189,938.21

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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.