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Finding the Third Proportional to 25,794 and 34,801

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Solution

The third proportional to 25,794 and 34,801 is: 46,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794 : 34,801 = 34,801 : x
  2. Step 2: Convert to fraction form
    25,794/34,801 = 34,801/x
  3. Step 3: Cross multiply
    25,794x = 34,801 × 34,801
  4. Step 4: Simplify right side
    25,794x = 1,211,109,601
  5. Step 5: Solve for x
    x = 1,211,109,601/25,794
  6. Step 6: Final answer
    x = 46,953.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.