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Finding the Third Proportional to 41,652 and 54,054

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Solution

The third proportional to 41,652 and 54,054 is: 70,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652 : 54,054 = 54,054 : x
  2. Step 2: Convert to fraction form
    41,652/54,054 = 54,054/x
  3. Step 3: Cross multiply
    41,652x = 54,054 × 54,054
  4. Step 4: Simplify right side
    41,652x = 2,921,834,916
  5. Step 5: Solve for x
    x = 2,921,834,916/41,652
  6. Step 6: Final answer
    x = 70,148.73

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.