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Finding the Third Proportional to 15,546 and 33,684

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Solution

The third proportional to 15,546 and 33,684 is: 72,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546 : 33,684 = 33,684 : x
  2. Step 2: Convert to fraction form
    15,546/33,684 = 33,684/x
  3. Step 3: Cross multiply
    15,546x = 33,684 × 33,684
  4. Step 4: Simplify right side
    15,546x = 1,134,611,856
  5. Step 5: Solve for x
    x = 1,134,611,856/15,546
  6. Step 6: Final answer
    x = 72,984.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.