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Finding the Third Proportional to 29,631 and 48,940.75

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Solution

The third proportional to 29,631 and 48,940.75 is: 80,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,631 : 48,940.75 = 48,940.75 : x
  2. Step 2: Convert to fraction form
    29,631/48,940.75 = 48,940.75/x
  3. Step 3: Cross multiply
    29,631x = 48,940.75 × 48,940.75
  4. Step 4: Simplify right side
    29,631x = 2,395,197,010.56
  5. Step 5: Solve for x
    x = 2,395,197,010.56/29,631
  6. Step 6: Final answer
    x = 80,834.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.