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Finding the Third Proportional to 36,901.50 and 76,428.75

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Solution

The third proportional to 36,901.50 and 76,428.75 is: 158,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,901.50 : 76,428.75 = 76,428.75 : x
  2. Step 2: Convert to fraction form
    36,901.50/76,428.75 = 76,428.75/x
  3. Step 3: Cross multiply
    36,901.50x = 76,428.75 × 76,428.75
  4. Step 4: Simplify right side
    36,901.50x = 5,841,353,826.56
  5. Step 5: Solve for x
    x = 5,841,353,826.56/36,901.50
  6. Step 6: Final answer
    x = 158,295.84

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.