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Finding the Third Proportional to 25,769 and 54,305

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Solution

The third proportional to 25,769 and 54,305 is: 114,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769 : 54,305 = 54,305 : x
  2. Step 2: Convert to fraction form
    25,769/54,305 = 54,305/x
  3. Step 3: Cross multiply
    25,769x = 54,305 × 54,305
  4. Step 4: Simplify right side
    25,769x = 2,949,033,025
  5. Step 5: Solve for x
    x = 2,949,033,025/25,769
  6. Step 6: Final answer
    x = 114,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.