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Finding the Third Proportional to 25,644 and 53,879

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Solution

The third proportional to 25,644 and 53,879 is: 113,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 53,879 = 53,879 : x
  2. Step 2: Convert to fraction form
    25,644/53,879 = 53,879/x
  3. Step 3: Cross multiply
    25,644x = 53,879 × 53,879
  4. Step 4: Simplify right side
    25,644x = 2,902,946,641
  5. Step 5: Solve for x
    x = 2,902,946,641/25,644
  6. Step 6: Final answer
    x = 113,201.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.