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Finding the Third Proportional to 23,386 and 50,093

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Solution

The third proportional to 23,386 and 50,093 is: 107,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386 : 50,093 = 50,093 : x
  2. Step 2: Convert to fraction form
    23,386/50,093 = 50,093/x
  3. Step 3: Cross multiply
    23,386x = 50,093 × 50,093
  4. Step 4: Simplify right side
    23,386x = 2,509,308,649
  5. Step 5: Solve for x
    x = 2,509,308,649/23,386
  6. Step 6: Final answer
    x = 107,299.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.