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Finding the Third Proportional to 45,635.50 and 91,949

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Solution

The third proportional to 45,635.50 and 91,949 is: 185,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,635.50 : 91,949 = 91,949 : x
  2. Step 2: Convert to fraction form
    45,635.50/91,949 = 91,949/x
  3. Step 3: Cross multiply
    45,635.50x = 91,949 × 91,949
  4. Step 4: Simplify right side
    45,635.50x = 8,454,618,601
  5. Step 5: Solve for x
    x = 8,454,618,601/45,635.50
  6. Step 6: Final answer
    x = 185,264.07

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.