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Finding the Third Proportional to 4,881.94 and 7,771.78

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Solution

The third proportional to 4,881.94 and 7,771.78 is: 12,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.94 : 7,771.78 = 7,771.78 : x
  2. Step 2: Convert to fraction form
    4,881.94/7,771.78 = 7,771.78/x
  3. Step 3: Cross multiply
    4,881.94x = 7,771.78 × 7,771.78
  4. Step 4: Simplify right side
    4,881.94x = 60,400,583.80
  5. Step 5: Solve for x
    x = 60,400,583.80/4,881.94
  6. Step 6: Final answer
    x = 12,372.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.