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Finding the Third Proportional to 12,233 and 20,834

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Solution

The third proportional to 12,233 and 20,834 is: 35,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 20,834 = 20,834 : x
  2. Step 2: Convert to fraction form
    12,233/20,834 = 20,834/x
  3. Step 3: Cross multiply
    12,233x = 20,834 × 20,834
  4. Step 4: Simplify right side
    12,233x = 434,055,556
  5. Step 5: Solve for x
    x = 434,055,556/12,233
  6. Step 6: Final answer
    x = 35,482.35

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.