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Finding the Third Proportional to 21,407 and 34,093

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Solution

The third proportional to 21,407 and 34,093 is: 54,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407 : 34,093 = 34,093 : x
  2. Step 2: Convert to fraction form
    21,407/34,093 = 34,093/x
  3. Step 3: Cross multiply
    21,407x = 34,093 × 34,093
  4. Step 4: Simplify right side
    21,407x = 1,162,332,649
  5. Step 5: Solve for x
    x = 1,162,332,649/21,407
  6. Step 6: Final answer
    x = 54,296.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.