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Finding the Third Proportional to 38,166.19 and 41,325.19

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Solution

The third proportional to 38,166.19 and 41,325.19 is: 44,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.19 : 41,325.19 = 41,325.19 : x
  2. Step 2: Convert to fraction form
    38,166.19/41,325.19 = 41,325.19/x
  3. Step 3: Cross multiply
    38,166.19x = 41,325.19 × 41,325.19
  4. Step 4: Simplify right side
    38,166.19x = 1,707,771,121.91
  5. Step 5: Solve for x
    x = 1,707,771,121.91/38,166.19
  6. Step 6: Final answer
    x = 44,745.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.