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Finding the Third Proportional to 24,225 and 51,954

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Solution

The third proportional to 24,225 and 51,954 is: 111,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 51,954 = 51,954 : x
  2. Step 2: Convert to fraction form
    24,225/51,954 = 51,954/x
  3. Step 3: Cross multiply
    24,225x = 51,954 × 51,954
  4. Step 4: Simplify right side
    24,225x = 2,699,218,116
  5. Step 5: Solve for x
    x = 2,699,218,116/24,225
  6. Step 6: Final answer
    x = 111,422.83

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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.