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Finding the Third Proportional to 41,859 and 61,239.38

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Solution

The third proportional to 41,859 and 61,239.38 is: 89,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,859 : 61,239.38 = 61,239.38 : x
  2. Step 2: Convert to fraction form
    41,859/61,239.38 = 61,239.38/x
  3. Step 3: Cross multiply
    41,859x = 61,239.38 × 61,239.38
  4. Step 4: Simplify right side
    41,859x = 3,750,261,050.39
  5. Step 5: Solve for x
    x = 3,750,261,050.39/41,859
  6. Step 6: Final answer
    x = 89,592.71

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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.