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Finding the Third Proportional to 4,978 and 11,770

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Solution

The third proportional to 4,978 and 11,770 is: 27,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 11,770 = 11,770 : x
  2. Step 2: Convert to fraction form
    4,978/11,770 = 11,770/x
  3. Step 3: Cross multiply
    4,978x = 11,770 × 11,770
  4. Step 4: Simplify right side
    4,978x = 138,532,900
  5. Step 5: Solve for x
    x = 138,532,900/4,978
  6. Step 6: Final answer
    x = 27,829.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.