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Finding the Third Proportional to 3,437 and 7,042

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Solution

The third proportional to 3,437 and 7,042 is: 14,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 7,042 = 7,042 : x
  2. Step 2: Convert to fraction form
    3,437/7,042 = 7,042/x
  3. Step 3: Cross multiply
    3,437x = 7,042 × 7,042
  4. Step 4: Simplify right side
    3,437x = 49,589,764
  5. Step 5: Solve for x
    x = 49,589,764/3,437
  6. Step 6: Final answer
    x = 14,428.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.