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Finding the Third Proportional to 2,074 and 3,106

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Solution

The third proportional to 2,074 and 3,106 is: 4,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 3,106 = 3,106 : x
  2. Step 2: Convert to fraction form
    2,074/3,106 = 3,106/x
  3. Step 3: Cross multiply
    2,074x = 3,106 × 3,106
  4. Step 4: Simplify right side
    2,074x = 9,647,236
  5. Step 5: Solve for x
    x = 9,647,236/2,074
  6. Step 6: Final answer
    x = 4,651.51

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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.