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Finding the Third Proportional to 9,149 and 18,622

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Solution

The third proportional to 9,149 and 18,622 is: 37,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149 : 18,622 = 18,622 : x
  2. Step 2: Convert to fraction form
    9,149/18,622 = 18,622/x
  3. Step 3: Cross multiply
    9,149x = 18,622 × 18,622
  4. Step 4: Simplify right side
    9,149x = 346,778,884
  5. Step 5: Solve for x
    x = 346,778,884/9,149
  6. Step 6: Final answer
    x = 37,903.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.