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Finding the Third Proportional to 9,951 and 15,165

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Solution

The third proportional to 9,951 and 15,165 is: 23,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951 : 15,165 = 15,165 : x
  2. Step 2: Convert to fraction form
    9,951/15,165 = 15,165/x
  3. Step 3: Cross multiply
    9,951x = 15,165 × 15,165
  4. Step 4: Simplify right side
    9,951x = 229,977,225
  5. Step 5: Solve for x
    x = 229,977,225/9,951
  6. Step 6: Final answer
    x = 23,110.97

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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.