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Finding the Third Proportional to 5,094 and 11,052

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Solution

The third proportional to 5,094 and 11,052 is: 23,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 11,052 = 11,052 : x
  2. Step 2: Convert to fraction form
    5,094/11,052 = 11,052/x
  3. Step 3: Cross multiply
    5,094x = 11,052 × 11,052
  4. Step 4: Simplify right side
    5,094x = 122,146,704
  5. Step 5: Solve for x
    x = 122,146,704/5,094
  6. Step 6: Final answer
    x = 23,978.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.