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Finding the Third Proportional to 17,546 and 38,980

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Solution

The third proportional to 17,546 and 38,980 is: 86,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546 : 38,980 = 38,980 : x
  2. Step 2: Convert to fraction form
    17,546/38,980 = 38,980/x
  3. Step 3: Cross multiply
    17,546x = 38,980 × 38,980
  4. Step 4: Simplify right side
    17,546x = 1,519,440,400
  5. Step 5: Solve for x
    x = 1,519,440,400/17,546
  6. Step 6: Final answer
    x = 86,597.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.