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Finding the Third Proportional to 20,796 and 28,233

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Solution

The third proportional to 20,796 and 28,233 is: 38,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 28,233 = 28,233 : x
  2. Step 2: Convert to fraction form
    20,796/28,233 = 28,233/x
  3. Step 3: Cross multiply
    20,796x = 28,233 × 28,233
  4. Step 4: Simplify right side
    20,796x = 797,102,289
  5. Step 5: Solve for x
    x = 797,102,289/20,796
  6. Step 6: Final answer
    x = 38,329.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.