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Finding the Third Proportional to 11,906 and 25,576

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Solution

The third proportional to 11,906 and 25,576 is: 54,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906 : 25,576 = 25,576 : x
  2. Step 2: Convert to fraction form
    11,906/25,576 = 25,576/x
  3. Step 3: Cross multiply
    11,906x = 25,576 × 25,576
  4. Step 4: Simplify right side
    11,906x = 654,131,776
  5. Step 5: Solve for x
    x = 654,131,776/11,906
  6. Step 6: Final answer
    x = 54,941.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.