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Finding the Third Proportional to 16,112 and 23,672

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Solution

The third proportional to 16,112 and 23,672 is: 34,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112 : 23,672 = 23,672 : x
  2. Step 2: Convert to fraction form
    16,112/23,672 = 23,672/x
  3. Step 3: Cross multiply
    16,112x = 23,672 × 23,672
  4. Step 4: Simplify right side
    16,112x = 560,363,584
  5. Step 5: Solve for x
    x = 560,363,584/16,112
  6. Step 6: Final answer
    x = 34,779.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.