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Finding the Third Proportional to 1,912 and 4,766

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Solution

The third proportional to 1,912 and 4,766 is: 11,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912 : 4,766 = 4,766 : x
  2. Step 2: Convert to fraction form
    1,912/4,766 = 4,766/x
  3. Step 3: Cross multiply
    1,912x = 4,766 × 4,766
  4. Step 4: Simplify right side
    1,912x = 22,714,756
  5. Step 5: Solve for x
    x = 22,714,756/1,912
  6. Step 6: Final answer
    x = 11,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.