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Finding the Third Proportional to 36,222.75 and 78,474.38

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Solution

The third proportional to 36,222.75 and 78,474.38 is: 170,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.75 : 78,474.38 = 78,474.38 : x
  2. Step 2: Convert to fraction form
    36,222.75/78,474.38 = 78,474.38/x
  3. Step 3: Cross multiply
    36,222.75x = 78,474.38 × 78,474.38
  4. Step 4: Simplify right side
    36,222.75x = 6,158,227,531.64
  5. Step 5: Solve for x
    x = 6,158,227,531.64/36,222.75
  6. Step 6: Final answer
    x = 170,009.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.