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Finding the Third Proportional to 33,990.47 and 73,630.69

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Solution

The third proportional to 33,990.47 and 73,630.69 is: 159,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990.47 : 73,630.69 = 73,630.69 : x
  2. Step 2: Convert to fraction form
    33,990.47/73,630.69 = 73,630.69/x
  3. Step 3: Cross multiply
    33,990.47x = 73,630.69 × 73,630.69
  4. Step 4: Simplify right side
    33,990.47x = 5,421,478,141.72
  5. Step 5: Solve for x
    x = 5,421,478,141.72/33,990.47
  6. Step 6: Final answer
    x = 159,499.95

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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.