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Finding the Third Proportional to 33,901.50 and 74,049

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Solution

The third proportional to 33,901.50 and 74,049 is: 161,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,901.50 : 74,049 = 74,049 : x
  2. Step 2: Convert to fraction form
    33,901.50/74,049 = 74,049/x
  3. Step 3: Cross multiply
    33,901.50x = 74,049 × 74,049
  4. Step 4: Simplify right side
    33,901.50x = 5,483,254,401
  5. Step 5: Solve for x
    x = 5,483,254,401/33,901.50
  6. Step 6: Final answer
    x = 161,740.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.