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Finding the Third Proportional to 6,894 and 16,233

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Solution

The third proportional to 6,894 and 16,233 is: 38,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 16,233 = 16,233 : x
  2. Step 2: Convert to fraction form
    6,894/16,233 = 16,233/x
  3. Step 3: Cross multiply
    6,894x = 16,233 × 16,233
  4. Step 4: Simplify right side
    6,894x = 263,510,289
  5. Step 5: Solve for x
    x = 263,510,289/6,894
  6. Step 6: Final answer
    x = 38,223.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.