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Finding the Third Proportional to 24,821 and 54,010

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Solution

The third proportional to 24,821 and 54,010 is: 117,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821 : 54,010 = 54,010 : x
  2. Step 2: Convert to fraction form
    24,821/54,010 = 54,010/x
  3. Step 3: Cross multiply
    24,821x = 54,010 × 54,010
  4. Step 4: Simplify right side
    24,821x = 2,917,080,100
  5. Step 5: Solve for x
    x = 2,917,080,100/24,821
  6. Step 6: Final answer
    x = 117,524.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.