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Finding the Third Proportional to 30,946 and 66,067

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Solution

The third proportional to 30,946 and 66,067 is: 141,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946 : 66,067 = 66,067 : x
  2. Step 2: Convert to fraction form
    30,946/66,067 = 66,067/x
  3. Step 3: Cross multiply
    30,946x = 66,067 × 66,067
  4. Step 4: Simplify right side
    30,946x = 4,364,848,489
  5. Step 5: Solve for x
    x = 4,364,848,489/30,946
  6. Step 6: Final answer
    x = 141,047.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.