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Finding the Third Proportional to 33,541.59 and 73,302.47

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Solution

The third proportional to 33,541.59 and 73,302.47 is: 160,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.59 : 73,302.47 = 73,302.47 : x
  2. Step 2: Convert to fraction form
    33,541.59/73,302.47 = 73,302.47/x
  3. Step 3: Cross multiply
    33,541.59x = 73,302.47 × 73,302.47
  4. Step 4: Simplify right side
    33,541.59x = 5,373,251,924.84
  5. Step 5: Solve for x
    x = 5,373,251,924.84/33,541.59
  6. Step 6: Final answer
    x = 160,196.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.