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Finding the Third Proportional to 25,365 and 54,626

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Solution

The third proportional to 25,365 and 54,626 is: 117,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365 : 54,626 = 54,626 : x
  2. Step 2: Convert to fraction form
    25,365/54,626 = 54,626/x
  3. Step 3: Cross multiply
    25,365x = 54,626 × 54,626
  4. Step 4: Simplify right side
    25,365x = 2,983,999,876
  5. Step 5: Solve for x
    x = 2,983,999,876/25,365
  6. Step 6: Final answer
    x = 117,642.42

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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.