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Finding the Third Proportional to 7,806 and 9,183

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Solution

The third proportional to 7,806 and 9,183 is: 10,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 9,183 = 9,183 : x
  2. Step 2: Convert to fraction form
    7,806/9,183 = 9,183/x
  3. Step 3: Cross multiply
    7,806x = 9,183 × 9,183
  4. Step 4: Simplify right side
    7,806x = 84,327,489
  5. Step 5: Solve for x
    x = 84,327,489/7,806
  6. Step 6: Final answer
    x = 10,802.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.