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Finding the Third Proportional to 14,238 and 21,699

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Solution

The third proportional to 14,238 and 21,699 is: 33,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 21,699 = 21,699 : x
  2. Step 2: Convert to fraction form
    14,238/21,699 = 21,699/x
  3. Step 3: Cross multiply
    14,238x = 21,699 × 21,699
  4. Step 4: Simplify right side
    14,238x = 470,846,601
  5. Step 5: Solve for x
    x = 470,846,601/14,238
  6. Step 6: Final answer
    x = 33,069.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.