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Finding the Third Proportional to 23,630 and 33,042

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Solution

The third proportional to 23,630 and 33,042 is: 46,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630 : 33,042 = 33,042 : x
  2. Step 2: Convert to fraction form
    23,630/33,042 = 33,042/x
  3. Step 3: Cross multiply
    23,630x = 33,042 × 33,042
  4. Step 4: Simplify right side
    23,630x = 1,091,773,764
  5. Step 5: Solve for x
    x = 1,091,773,764/23,630
  6. Step 6: Final answer
    x = 46,202.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.