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Finding the Third Proportional to 11,601 and 25,044

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Solution

The third proportional to 11,601 and 25,044 is: 54,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601 : 25,044 = 25,044 : x
  2. Step 2: Convert to fraction form
    11,601/25,044 = 25,044/x
  3. Step 3: Cross multiply
    11,601x = 25,044 × 25,044
  4. Step 4: Simplify right side
    11,601x = 627,201,936
  5. Step 5: Solve for x
    x = 627,201,936/11,601
  6. Step 6: Final answer
    x = 54,064.47

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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.