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Finding the Third Proportional to 6,824 and 14,930

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Solution

The third proportional to 6,824 and 14,930 is: 32,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 14,930 = 14,930 : x
  2. Step 2: Convert to fraction form
    6,824/14,930 = 14,930/x
  3. Step 3: Cross multiply
    6,824x = 14,930 × 14,930
  4. Step 4: Simplify right side
    6,824x = 222,904,900
  5. Step 5: Solve for x
    x = 222,904,900/6,824
  6. Step 6: Final answer
    x = 32,664.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.