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Finding the Third Proportional to 30,540.38 and 44,715.38

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Solution

The third proportional to 30,540.38 and 44,715.38 is: 65,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.38 : 44,715.38 = 44,715.38 : x
  2. Step 2: Convert to fraction form
    30,540.38/44,715.38 = 44,715.38/x
  3. Step 3: Cross multiply
    30,540.38x = 44,715.38 × 44,715.38
  4. Step 4: Simplify right side
    30,540.38x = 1,999,464,761.39
  5. Step 5: Solve for x
    x = 1,999,464,761.39/30,540.38
  6. Step 6: Final answer
    x = 65,469.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.