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Finding the Third Proportional to 2,074 and 3,154

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Solution

The third proportional to 2,074 and 3,154 is: 4,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 3,154 = 3,154 : x
  2. Step 2: Convert to fraction form
    2,074/3,154 = 3,154/x
  3. Step 3: Cross multiply
    2,074x = 3,154 × 3,154
  4. Step 4: Simplify right side
    2,074x = 9,947,716
  5. Step 5: Solve for x
    x = 9,947,716/2,074
  6. Step 6: Final answer
    x = 4,796.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.