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Finding the Third Proportional to 33,913.69 and 73,663.88

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Solution

The third proportional to 33,913.69 and 73,663.88 is: 160,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913.69 : 73,663.88 = 73,663.88 : x
  2. Step 2: Convert to fraction form
    33,913.69/73,663.88 = 73,663.88/x
  3. Step 3: Cross multiply
    33,913.69x = 73,663.88 × 73,663.88
  4. Step 4: Simplify right side
    33,913.69x = 5,426,366,480.02
  5. Step 5: Solve for x
    x = 5,426,366,480.02/33,913.69
  6. Step 6: Final answer
    x = 160,005.20

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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.