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Finding the Third Proportional to 29,398.13 and 44,163.38

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Solution

The third proportional to 29,398.13 and 44,163.38 is: 66,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.13 : 44,163.38 = 44,163.38 : x
  2. Step 2: Convert to fraction form
    29,398.13/44,163.38 = 44,163.38/x
  3. Step 3: Cross multiply
    29,398.13x = 44,163.38 × 44,163.38
  4. Step 4: Simplify right side
    29,398.13x = 1,950,403,691.39
  5. Step 5: Solve for x
    x = 1,950,403,691.39/29,398.13
  6. Step 6: Final answer
    x = 66,344.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.