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Finding the Third Proportional to 36,562.50 and 77,738.50

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Solution

The third proportional to 36,562.50 and 77,738.50 is: 165,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562.50 : 77,738.50 = 77,738.50 : x
  2. Step 2: Convert to fraction form
    36,562.50/77,738.50 = 77,738.50/x
  3. Step 3: Cross multiply
    36,562.50x = 77,738.50 × 77,738.50
  4. Step 4: Simplify right side
    36,562.50x = 6,043,274,382.25
  5. Step 5: Solve for x
    x = 6,043,274,382.25/36,562.50
  6. Step 6: Final answer
    x = 165,286.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.