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Finding the Third Proportional to 9,806 and 12,741

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Solution

The third proportional to 9,806 and 12,741 is: 16,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 12,741 = 12,741 : x
  2. Step 2: Convert to fraction form
    9,806/12,741 = 12,741/x
  3. Step 3: Cross multiply
    9,806x = 12,741 × 12,741
  4. Step 4: Simplify right side
    9,806x = 162,333,081
  5. Step 5: Solve for x
    x = 162,333,081/9,806
  6. Step 6: Final answer
    x = 16,554.46

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.