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Finding the Third Proportional to 11,540 and 25,105

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Solution

The third proportional to 11,540 and 25,105 is: 54,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540 : 25,105 = 25,105 : x
  2. Step 2: Convert to fraction form
    11,540/25,105 = 25,105/x
  3. Step 3: Cross multiply
    11,540x = 25,105 × 25,105
  4. Step 4: Simplify right side
    11,540x = 630,261,025
  5. Step 5: Solve for x
    x = 630,261,025/11,540
  6. Step 6: Final answer
    x = 54,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.