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Finding the Third Proportional to 5,494 and 11,770

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Solution

The third proportional to 5,494 and 11,770 is: 25,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 11,770 = 11,770 : x
  2. Step 2: Convert to fraction form
    5,494/11,770 = 11,770/x
  3. Step 3: Cross multiply
    5,494x = 11,770 × 11,770
  4. Step 4: Simplify right side
    5,494x = 138,532,900
  5. Step 5: Solve for x
    x = 138,532,900/5,494
  6. Step 6: Final answer
    x = 25,215.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.