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Finding the Third Proportional to 41,007 and 61,296

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Solution

The third proportional to 41,007 and 61,296 is: 91,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,007 : 61,296 = 61,296 : x
  2. Step 2: Convert to fraction form
    41,007/61,296 = 61,296/x
  3. Step 3: Cross multiply
    41,007x = 61,296 × 61,296
  4. Step 4: Simplify right side
    41,007x = 3,757,199,616
  5. Step 5: Solve for x
    x = 3,757,199,616/41,007
  6. Step 6: Final answer
    x = 91,623.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.