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Finding the Third Proportional to 14,761 and 22,093

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Solution

The third proportional to 14,761 and 22,093 is: 33,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761 : 22,093 = 22,093 : x
  2. Step 2: Convert to fraction form
    14,761/22,093 = 22,093/x
  3. Step 3: Cross multiply
    14,761x = 22,093 × 22,093
  4. Step 4: Simplify right side
    14,761x = 488,100,649
  5. Step 5: Solve for x
    x = 488,100,649/14,761
  6. Step 6: Final answer
    x = 33,066.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.