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Finding the Third Proportional to 36,045 and 82,965

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Solution

The third proportional to 36,045 and 82,965 is: 190,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 82,965 = 82,965 : x
  2. Step 2: Convert to fraction form
    36,045/82,965 = 82,965/x
  3. Step 3: Cross multiply
    36,045x = 82,965 × 82,965
  4. Step 4: Simplify right side
    36,045x = 6,883,191,225
  5. Step 5: Solve for x
    x = 6,883,191,225/36,045
  6. Step 6: Final answer
    x = 190,961.05

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.