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Finding the Third Proportional to 9,770 and 11,912

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Solution

The third proportional to 9,770 and 11,912 is: 14,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 11,912 = 11,912 : x
  2. Step 2: Convert to fraction form
    9,770/11,912 = 11,912/x
  3. Step 3: Cross multiply
    9,770x = 11,912 × 11,912
  4. Step 4: Simplify right side
    9,770x = 141,895,744
  5. Step 5: Solve for x
    x = 141,895,744/9,770
  6. Step 6: Final answer
    x = 14,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.