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Finding the Third Proportional to 2,149 and 5,074

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Solution

The third proportional to 2,149 and 5,074 is: 11,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149 : 5,074 = 5,074 : x
  2. Step 2: Convert to fraction form
    2,149/5,074 = 5,074/x
  3. Step 3: Cross multiply
    2,149x = 5,074 × 5,074
  4. Step 4: Simplify right side
    2,149x = 25,745,476
  5. Step 5: Solve for x
    x = 25,745,476/2,149
  6. Step 6: Final answer
    x = 11,980.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.