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Finding the Third Proportional to 36,956 and 86,765

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Solution

The third proportional to 36,956 and 86,765 is: 203,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956 : 86,765 = 86,765 : x
  2. Step 2: Convert to fraction form
    36,956/86,765 = 86,765/x
  3. Step 3: Cross multiply
    36,956x = 86,765 × 86,765
  4. Step 4: Simplify right side
    36,956x = 7,528,165,225
  5. Step 5: Solve for x
    x = 7,528,165,225/36,956
  6. Step 6: Final answer
    x = 203,706.17

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.