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Finding the Third Proportional to 23,829.19 and 41,841.56

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Solution

The third proportional to 23,829.19 and 41,841.56 is: 73,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 41,841.56 = 41,841.56 : x
  2. Step 2: Convert to fraction form
    23,829.19/41,841.56 = 41,841.56/x
  3. Step 3: Cross multiply
    23,829.19x = 41,841.56 × 41,841.56
  4. Step 4: Simplify right side
    23,829.19x = 1,750,716,352.44
  5. Step 5: Solve for x
    x = 1,750,716,352.44/23,829.19
  6. Step 6: Final answer
    x = 73,469.41

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.