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Finding the Third Proportional to 41,837.25 and 58,651.88

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Solution

The third proportional to 41,837.25 and 58,651.88 is: 82,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837.25 : 58,651.88 = 58,651.88 : x
  2. Step 2: Convert to fraction form
    41,837.25/58,651.88 = 58,651.88/x
  3. Step 3: Cross multiply
    41,837.25x = 58,651.88 × 58,651.88
  4. Step 4: Simplify right side
    41,837.25x = 3,440,042,441.02
  5. Step 5: Solve for x
    x = 3,440,042,441.02/41,837.25
  6. Step 6: Final answer
    x = 82,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.