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Finding the Third Proportional to 6,770 and 14,233

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Solution

The third proportional to 6,770 and 14,233 is: 29,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770 : 14,233 = 14,233 : x
  2. Step 2: Convert to fraction form
    6,770/14,233 = 14,233/x
  3. Step 3: Cross multiply
    6,770x = 14,233 × 14,233
  4. Step 4: Simplify right side
    6,770x = 202,578,289
  5. Step 5: Solve for x
    x = 202,578,289/6,770
  6. Step 6: Final answer
    x = 29,922.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.