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Finding the Third Proportional to 3,420 and 4,974

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Solution

The third proportional to 3,420 and 4,974 is: 7,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 4,974 = 4,974 : x
  2. Step 2: Convert to fraction form
    3,420/4,974 = 4,974/x
  3. Step 3: Cross multiply
    3,420x = 4,974 × 4,974
  4. Step 4: Simplify right side
    3,420x = 24,740,676
  5. Step 5: Solve for x
    x = 24,740,676/3,420
  6. Step 6: Final answer
    x = 7,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.