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Finding the Third Proportional to 2,664 and 3,112

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Solution

The third proportional to 2,664 and 3,112 is: 3,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,112 = 3,112 : x
  2. Step 2: Convert to fraction form
    2,664/3,112 = 3,112/x
  3. Step 3: Cross multiply
    2,664x = 3,112 × 3,112
  4. Step 4: Simplify right side
    2,664x = 9,684,544
  5. Step 5: Solve for x
    x = 9,684,544/2,664
  6. Step 6: Final answer
    x = 3,635.34

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.