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Finding the Third Proportional to 30,844 and 66,296

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Solution

The third proportional to 30,844 and 66,296 is: 142,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844 : 66,296 = 66,296 : x
  2. Step 2: Convert to fraction form
    30,844/66,296 = 66,296/x
  3. Step 3: Cross multiply
    30,844x = 66,296 × 66,296
  4. Step 4: Simplify right side
    30,844x = 4,395,159,616
  5. Step 5: Solve for x
    x = 4,395,159,616/30,844
  6. Step 6: Final answer
    x = 142,496.42

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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.