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Finding the Third Proportional to 33,895.50 and 74,037

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Solution

The third proportional to 33,895.50 and 74,037 is: 161,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,895.50 : 74,037 = 74,037 : x
  2. Step 2: Convert to fraction form
    33,895.50/74,037 = 74,037/x
  3. Step 3: Cross multiply
    33,895.50x = 74,037 × 74,037
  4. Step 4: Simplify right side
    33,895.50x = 5,481,477,369
  5. Step 5: Solve for x
    x = 5,481,477,369/33,895.50
  6. Step 6: Final answer
    x = 161,716.96

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Why These Related Problems?

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