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Finding the Third Proportional to 24,728 and 54,991

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Solution

The third proportional to 24,728 and 54,991 is: 122,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 54,991 = 54,991 : x
  2. Step 2: Convert to fraction form
    24,728/54,991 = 54,991/x
  3. Step 3: Cross multiply
    24,728x = 54,991 × 54,991
  4. Step 4: Simplify right side
    24,728x = 3,024,010,081
  5. Step 5: Solve for x
    x = 3,024,010,081/24,728
  6. Step 6: Final answer
    x = 122,290.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.