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Finding the Third Proportional to 36,027 and 77,035

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Solution

The third proportional to 36,027 and 77,035 is: 164,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 77,035 = 77,035 : x
  2. Step 2: Convert to fraction form
    36,027/77,035 = 77,035/x
  3. Step 3: Cross multiply
    36,027x = 77,035 × 77,035
  4. Step 4: Simplify right side
    36,027x = 5,934,391,225
  5. Step 5: Solve for x
    x = 5,934,391,225/36,027
  6. Step 6: Final answer
    x = 164,720.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.