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Finding the Third Proportional to 36,063.50 and 76,816

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Solution

The third proportional to 36,063.50 and 76,816 is: 163,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,063.50 : 76,816 = 76,816 : x
  2. Step 2: Convert to fraction form
    36,063.50/76,816 = 76,816/x
  3. Step 3: Cross multiply
    36,063.50x = 76,816 × 76,816
  4. Step 4: Simplify right side
    36,063.50x = 5,900,697,856
  5. Step 5: Solve for x
    x = 5,900,697,856/36,063.50
  6. Step 6: Final answer
    x = 163,619.67

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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.