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Finding the Third Proportional to 9,834 and 21,233

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Solution

The third proportional to 9,834 and 21,233 is: 45,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 21,233 = 21,233 : x
  2. Step 2: Convert to fraction form
    9,834/21,233 = 21,233/x
  3. Step 3: Cross multiply
    9,834x = 21,233 × 21,233
  4. Step 4: Simplify right side
    9,834x = 450,840,289
  5. Step 5: Solve for x
    x = 450,840,289/9,834
  6. Step 6: Final answer
    x = 45,845.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.