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Finding the Third Proportional to 25,466 and 54,694

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Solution

The third proportional to 25,466 and 54,694 is: 117,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466 : 54,694 = 54,694 : x
  2. Step 2: Convert to fraction form
    25,466/54,694 = 54,694/x
  3. Step 3: Cross multiply
    25,466x = 54,694 × 54,694
  4. Step 4: Simplify right side
    25,466x = 2,991,433,636
  5. Step 5: Solve for x
    x = 2,991,433,636/25,466
  6. Step 6: Final answer
    x = 117,467.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.