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Finding the Third Proportional to 3,025.50 and 4,106.25

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Solution

The third proportional to 3,025.50 and 4,106.25 is: 5,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.50 : 4,106.25 = 4,106.25 : x
  2. Step 2: Convert to fraction form
    3,025.50/4,106.25 = 4,106.25/x
  3. Step 3: Cross multiply
    3,025.50x = 4,106.25 × 4,106.25
  4. Step 4: Simplify right side
    3,025.50x = 16,861,289.06
  5. Step 5: Solve for x
    x = 16,861,289.06/3,025.50
  6. Step 6: Final answer
    x = 5,573.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.