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Finding the Third Proportional to 3,915.56 and 5,880.94

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Solution

The third proportional to 3,915.56 and 5,880.94 is: 8,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.56 : 5,880.94 = 5,880.94 : x
  2. Step 2: Convert to fraction form
    3,915.56/5,880.94 = 5,880.94/x
  3. Step 3: Cross multiply
    3,915.56x = 5,880.94 × 5,880.94
  4. Step 4: Simplify right side
    3,915.56x = 34,585,425.88
  5. Step 5: Solve for x
    x = 34,585,425.88/3,915.56
  6. Step 6: Final answer
    x = 8,832.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.