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Finding the Third Proportional to 23,859 and 36,093

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Solution

The third proportional to 23,859 and 36,093 is: 54,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859 : 36,093 = 36,093 : x
  2. Step 2: Convert to fraction form
    23,859/36,093 = 36,093/x
  3. Step 3: Cross multiply
    23,859x = 36,093 × 36,093
  4. Step 4: Simplify right side
    23,859x = 1,302,704,649
  5. Step 5: Solve for x
    x = 1,302,704,649/23,859
  6. Step 6: Final answer
    x = 54,600.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.