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Finding the Third Proportional to 3,106 and 4,662

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Solution

The third proportional to 3,106 and 4,662 is: 6,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,662 = 4,662 : x
  2. Step 2: Convert to fraction form
    3,106/4,662 = 4,662/x
  3. Step 3: Cross multiply
    3,106x = 4,662 × 4,662
  4. Step 4: Simplify right side
    3,106x = 21,734,244
  5. Step 5: Solve for x
    x = 21,734,244/3,106
  6. Step 6: Final answer
    x = 6,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.