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Finding the Third Proportional to 35,244.50 and 73,949

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Solution

The third proportional to 35,244.50 and 73,949 is: 155,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,244.50 : 73,949 = 73,949 : x
  2. Step 2: Convert to fraction form
    35,244.50/73,949 = 73,949/x
  3. Step 3: Cross multiply
    35,244.50x = 73,949 × 73,949
  4. Step 4: Simplify right side
    35,244.50x = 5,468,454,601
  5. Step 5: Solve for x
    x = 5,468,454,601/35,244.50
  6. Step 6: Final answer
    x = 155,157.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.