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Finding the Third Proportional to 2,992 and 4,210

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Solution

The third proportional to 2,992 and 4,210 is: 5,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992 : 4,210 = 4,210 : x
  2. Step 2: Convert to fraction form
    2,992/4,210 = 4,210/x
  3. Step 3: Cross multiply
    2,992x = 4,210 × 4,210
  4. Step 4: Simplify right side
    2,992x = 17,724,100
  5. Step 5: Solve for x
    x = 17,724,100/2,992
  6. Step 6: Final answer
    x = 5,923.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.