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Finding the Third Proportional to 36,019 and 83,737

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Solution

The third proportional to 36,019 and 83,737 is: 194,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019 : 83,737 = 83,737 : x
  2. Step 2: Convert to fraction form
    36,019/83,737 = 83,737/x
  3. Step 3: Cross multiply
    36,019x = 83,737 × 83,737
  4. Step 4: Simplify right side
    36,019x = 7,011,885,169
  5. Step 5: Solve for x
    x = 7,011,885,169/36,019
  6. Step 6: Final answer
    x = 194,671.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.