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Finding the Third Proportional to 41,908.50 and 56,949

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Solution

The third proportional to 41,908.50 and 56,949 is: 77,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908.50 : 56,949 = 56,949 : x
  2. Step 2: Convert to fraction form
    41,908.50/56,949 = 56,949/x
  3. Step 3: Cross multiply
    41,908.50x = 56,949 × 56,949
  4. Step 4: Simplify right side
    41,908.50x = 3,243,188,601
  5. Step 5: Solve for x
    x = 3,243,188,601/41,908.50
  6. Step 6: Final answer
    x = 77,387.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.