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Finding the Third Proportional to 4,168.50 and 5,059.50

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Solution

The third proportional to 4,168.50 and 5,059.50 is: 6,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.50 : 5,059.50 = 5,059.50 : x
  2. Step 2: Convert to fraction form
    4,168.50/5,059.50 = 5,059.50/x
  3. Step 3: Cross multiply
    4,168.50x = 5,059.50 × 5,059.50
  4. Step 4: Simplify right side
    4,168.50x = 25,598,540.25
  5. Step 5: Solve for x
    x = 25,598,540.25/4,168.50
  6. Step 6: Final answer
    x = 6,140.95

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.