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Finding the Third Proportional to 33,913.13 and 73,662.19

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Solution

The third proportional to 33,913.13 and 73,662.19 is: 160,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913.13 : 73,662.19 = 73,662.19 : x
  2. Step 2: Convert to fraction form
    33,913.13/73,662.19 = 73,662.19/x
  3. Step 3: Cross multiply
    33,913.13x = 73,662.19 × 73,662.19
  4. Step 4: Simplify right side
    33,913.13x = 5,426,117,867.29
  5. Step 5: Solve for x
    x = 5,426,117,867.29/33,913.13
  6. Step 6: Final answer
    x = 160,000.53

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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.