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Finding the Third Proportional to 5,546 and 11,902

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Solution

The third proportional to 5,546 and 11,902 is: 25,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546 : 11,902 = 11,902 : x
  2. Step 2: Convert to fraction form
    5,546/11,902 = 11,902/x
  3. Step 3: Cross multiply
    5,546x = 11,902 × 11,902
  4. Step 4: Simplify right side
    5,546x = 141,657,604
  5. Step 5: Solve for x
    x = 141,657,604/5,546
  6. Step 6: Final answer
    x = 25,542.30

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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.