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Finding the Third Proportional to 38,701 and 79,042

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Solution

The third proportional to 38,701 and 79,042 is: 161,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701 : 79,042 = 79,042 : x
  2. Step 2: Convert to fraction form
    38,701/79,042 = 79,042/x
  3. Step 3: Cross multiply
    38,701x = 79,042 × 79,042
  4. Step 4: Simplify right side
    38,701x = 6,247,637,764
  5. Step 5: Solve for x
    x = 6,247,637,764/38,701
  6. Step 6: Final answer
    x = 161,433.50

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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.