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Finding the Third Proportional to 30,834 and 66,042

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Solution

The third proportional to 30,834 and 66,042 is: 141,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834 : 66,042 = 66,042 : x
  2. Step 2: Convert to fraction form
    30,834/66,042 = 66,042/x
  3. Step 3: Cross multiply
    30,834x = 66,042 × 66,042
  4. Step 4: Simplify right side
    30,834x = 4,361,545,764
  5. Step 5: Solve for x
    x = 4,361,545,764/30,834
  6. Step 6: Final answer
    x = 141,452.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.