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Finding the Third Proportional to 30,412 and 62,042

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Solution

The third proportional to 30,412 and 62,042 is: 126,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412 : 62,042 = 62,042 : x
  2. Step 2: Convert to fraction form
    30,412/62,042 = 62,042/x
  3. Step 3: Cross multiply
    30,412x = 62,042 × 62,042
  4. Step 4: Simplify right side
    30,412x = 3,849,209,764
  5. Step 5: Solve for x
    x = 3,849,209,764/30,412
  6. Step 6: Final answer
    x = 126,568.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.