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Finding the Third Proportional to 9,137 and 18,922

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Solution

The third proportional to 9,137 and 18,922 is: 39,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137 : 18,922 = 18,922 : x
  2. Step 2: Convert to fraction form
    9,137/18,922 = 18,922/x
  3. Step 3: Cross multiply
    9,137x = 18,922 × 18,922
  4. Step 4: Simplify right side
    9,137x = 358,042,084
  5. Step 5: Solve for x
    x = 358,042,084/9,137
  6. Step 6: Final answer
    x = 39,185.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.