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Finding the Third Proportional to 16,225 and 23,699

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Solution

The third proportional to 16,225 and 23,699 is: 34,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 23,699 = 23,699 : x
  2. Step 2: Convert to fraction form
    16,225/23,699 = 23,699/x
  3. Step 3: Cross multiply
    16,225x = 23,699 × 23,699
  4. Step 4: Simplify right side
    16,225x = 561,642,601
  5. Step 5: Solve for x
    x = 561,642,601/16,225
  6. Step 6: Final answer
    x = 34,615.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.