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Finding the Third Proportional to 11,509 and 25,627

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Solution

The third proportional to 11,509 and 25,627 is: 57,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509 : 25,627 = 25,627 : x
  2. Step 2: Convert to fraction form
    11,509/25,627 = 25,627/x
  3. Step 3: Cross multiply
    11,509x = 25,627 × 25,627
  4. Step 4: Simplify right side
    11,509x = 656,743,129
  5. Step 5: Solve for x
    x = 656,743,129/11,509
  6. Step 6: Final answer
    x = 57,063.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.