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Finding the Third Proportional to 1,942 and 4,098

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Solution

The third proportional to 1,942 and 4,098 is: 8,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942 : 4,098 = 4,098 : x
  2. Step 2: Convert to fraction form
    1,942/4,098 = 4,098/x
  3. Step 3: Cross multiply
    1,942x = 4,098 × 4,098
  4. Step 4: Simplify right side
    1,942x = 16,793,604
  5. Step 5: Solve for x
    x = 16,793,604/1,942
  6. Step 6: Final answer
    x = 8,647.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.