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Finding the Third Proportional to 36,868.50 and 86,670

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Solution

The third proportional to 36,868.50 and 86,670 is: 203,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868.50 : 86,670 = 86,670 : x
  2. Step 2: Convert to fraction form
    36,868.50/86,670 = 86,670/x
  3. Step 3: Cross multiply
    36,868.50x = 86,670 × 86,670
  4. Step 4: Simplify right side
    36,868.50x = 7,511,688,900
  5. Step 5: Solve for x
    x = 7,511,688,900/36,868.50
  6. Step 6: Final answer
    x = 203,742.73

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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.