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Finding the Third Proportional to 23,824.13 and 37,194.19

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Solution

The third proportional to 23,824.13 and 37,194.19 is: 58,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 37,194.19 = 37,194.19 : x
  2. Step 2: Convert to fraction form
    23,824.13/37,194.19 = 37,194.19/x
  3. Step 3: Cross multiply
    23,824.13x = 37,194.19 × 37,194.19
  4. Step 4: Simplify right side
    23,824.13x = 1,383,407,583.79
  5. Step 5: Solve for x
    x = 1,383,407,583.79/23,824.13
  6. Step 6: Final answer
    x = 58,067.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.