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Finding the Third Proportional to 11,523 and 25,149

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Solution

The third proportional to 11,523 and 25,149 is: 54,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523 : 25,149 = 25,149 : x
  2. Step 2: Convert to fraction form
    11,523/25,149 = 25,149/x
  3. Step 3: Cross multiply
    11,523x = 25,149 × 25,149
  4. Step 4: Simplify right side
    11,523x = 632,472,201
  5. Step 5: Solve for x
    x = 632,472,201/11,523
  6. Step 6: Final answer
    x = 54,887.81

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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.