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Finding the Third Proportional to 11,727 and 25,305

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Solution

The third proportional to 11,727 and 25,305 is: 54,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727 : 25,305 = 25,305 : x
  2. Step 2: Convert to fraction form
    11,727/25,305 = 25,305/x
  3. Step 3: Cross multiply
    11,727x = 25,305 × 25,305
  4. Step 4: Simplify right side
    11,727x = 640,343,025
  5. Step 5: Solve for x
    x = 640,343,025/11,727
  6. Step 6: Final answer
    x = 54,604.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.