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Finding the Third Proportional to 41,857 and 64,631

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Solution

The third proportional to 41,857 and 64,631 is: 99,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,857 : 64,631 = 64,631 : x
  2. Step 2: Convert to fraction form
    41,857/64,631 = 64,631/x
  3. Step 3: Cross multiply
    41,857x = 64,631 × 64,631
  4. Step 4: Simplify right side
    41,857x = 4,177,166,161
  5. Step 5: Solve for x
    x = 4,177,166,161/41,857
  6. Step 6: Final answer
    x = 99,796.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.