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Finding the Third Proportional to 5,094 and 7,792.31

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Solution

The third proportional to 5,094 and 7,792.31 is: 11,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,792.31 = 7,792.31 : x
  2. Step 2: Convert to fraction form
    5,094/7,792.31 = 7,792.31/x
  3. Step 3: Cross multiply
    5,094x = 7,792.31 × 7,792.31
  4. Step 4: Simplify right side
    5,094x = 60,720,134.10
  5. Step 5: Solve for x
    x = 60,720,134.10/5,094
  6. Step 6: Final answer
    x = 11,919.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.