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Finding the Third Proportional to 36,309.94 and 74,624.63

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Solution

The third proportional to 36,309.94 and 74,624.63 is: 153,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,309.94 : 74,624.63 = 74,624.63 : x
  2. Step 2: Convert to fraction form
    36,309.94/74,624.63 = 74,624.63/x
  3. Step 3: Cross multiply
    36,309.94x = 74,624.63 × 74,624.63
  4. Step 4: Simplify right side
    36,309.94x = 5,568,834,656.39
  5. Step 5: Solve for x
    x = 5,568,834,656.39/36,309.94
  6. Step 6: Final answer
    x = 153,369.44

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.