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Finding the Third Proportional to 5,087.81 and 5,986.41

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Solution

The third proportional to 5,087.81 and 5,986.41 is: 7,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 5,986.41 = 5,986.41 : x
  2. Step 2: Convert to fraction form
    5,087.81/5,986.41 = 5,986.41/x
  3. Step 3: Cross multiply
    5,087.81x = 5,986.41 × 5,986.41
  4. Step 4: Simplify right side
    5,087.81x = 35,837,059.79
  5. Step 5: Solve for x
    x = 35,837,059.79/5,087.81
  6. Step 6: Final answer
    x = 7,043.71

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.