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Finding the Third Proportional to 25,917 and 53,678

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Solution

The third proportional to 25,917 and 53,678 is: 111,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917 : 53,678 = 53,678 : x
  2. Step 2: Convert to fraction form
    25,917/53,678 = 53,678/x
  3. Step 3: Cross multiply
    25,917x = 53,678 × 53,678
  4. Step 4: Simplify right side
    25,917x = 2,881,327,684
  5. Step 5: Solve for x
    x = 2,881,327,684/25,917
  6. Step 6: Final answer
    x = 111,175.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.