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Finding the Third Proportional to 15,546 and 33,851

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Solution

The third proportional to 15,546 and 33,851 is: 73,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546 : 33,851 = 33,851 : x
  2. Step 2: Convert to fraction form
    15,546/33,851 = 33,851/x
  3. Step 3: Cross multiply
    15,546x = 33,851 × 33,851
  4. Step 4: Simplify right side
    15,546x = 1,145,890,201
  5. Step 5: Solve for x
    x = 1,145,890,201/15,546
  6. Step 6: Final answer
    x = 73,709.65

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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.