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Finding the Third Proportional to 9,823 and 21,286

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Solution

The third proportional to 9,823 and 21,286 is: 46,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 21,286 = 21,286 : x
  2. Step 2: Convert to fraction form
    9,823/21,286 = 21,286/x
  3. Step 3: Cross multiply
    9,823x = 21,286 × 21,286
  4. Step 4: Simplify right side
    9,823x = 453,093,796
  5. Step 5: Solve for x
    x = 453,093,796/9,823
  6. Step 6: Final answer
    x = 46,125.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.