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Finding the Third Proportional to 6,304 and 13,699

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Solution

The third proportional to 6,304 and 13,699 is: 29,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304 : 13,699 = 13,699 : x
  2. Step 2: Convert to fraction form
    6,304/13,699 = 13,699/x
  3. Step 3: Cross multiply
    6,304x = 13,699 × 13,699
  4. Step 4: Simplify right side
    6,304x = 187,662,601
  5. Step 5: Solve for x
    x = 187,662,601/6,304
  6. Step 6: Final answer
    x = 29,768.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.