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Finding the Third Proportional to 7,629.63 and 18,374.13

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Solution

The third proportional to 7,629.63 and 18,374.13 is: 44,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.63 : 18,374.13 = 18,374.13 : x
  2. Step 2: Convert to fraction form
    7,629.63/18,374.13 = 18,374.13/x
  3. Step 3: Cross multiply
    7,629.63x = 18,374.13 × 18,374.13
  4. Step 4: Simplify right side
    7,629.63x = 337,608,469.52
  5. Step 5: Solve for x
    x = 337,608,469.52/7,629.63
  6. Step 6: Final answer
    x = 44,249.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.