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Finding the Third Proportional to 9,834 and 19,176

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Solution

The third proportional to 9,834 and 19,176 is: 37,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 19,176 = 19,176 : x
  2. Step 2: Convert to fraction form
    9,834/19,176 = 19,176/x
  3. Step 3: Cross multiply
    9,834x = 19,176 × 19,176
  4. Step 4: Simplify right side
    9,834x = 367,718,976
  5. Step 5: Solve for x
    x = 367,718,976/9,834
  6. Step 6: Final answer
    x = 37,392.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.