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Finding the Third Proportional to 11,907 and 25,174.13

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Solution

The third proportional to 11,907 and 25,174.13 is: 53,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 25,174.13 = 25,174.13 : x
  2. Step 2: Convert to fraction form
    11,907/25,174.13 = 25,174.13/x
  3. Step 3: Cross multiply
    11,907x = 25,174.13 × 25,174.13
  4. Step 4: Simplify right side
    11,907x = 633,736,569.52
  5. Step 5: Solve for x
    x = 633,736,569.52/11,907
  6. Step 6: Final answer
    x = 53,223.87

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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.