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Finding the Third Proportional to 5,086.55 and 10,940.06

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Solution

The third proportional to 5,086.55 and 10,940.06 is: 23,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.55 : 10,940.06 = 10,940.06 : x
  2. Step 2: Convert to fraction form
    5,086.55/10,940.06 = 10,940.06/x
  3. Step 3: Cross multiply
    5,086.55x = 10,940.06 × 10,940.06
  4. Step 4: Simplify right side
    5,086.55x = 119,684,967.50
  5. Step 5: Solve for x
    x = 119,684,967.50/5,086.55
  6. Step 6: Final answer
    x = 23,529.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.