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Finding the Third Proportional to 33,758.44 and 73,875.38

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Solution

The third proportional to 33,758.44 and 73,875.38 is: 161,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758.44 : 73,875.38 = 73,875.38 : x
  2. Step 2: Convert to fraction form
    33,758.44/73,875.38 = 73,875.38/x
  3. Step 3: Cross multiply
    33,758.44x = 73,875.38 × 73,875.38
  4. Step 4: Simplify right side
    33,758.44x = 5,457,571,031.39
  5. Step 5: Solve for x
    x = 5,457,571,031.39/33,758.44
  6. Step 6: Final answer
    x = 161,665.39

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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.