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Finding the Third Proportional to 2,150.72 and 3,028.50

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Solution

The third proportional to 2,150.72 and 3,028.50 is: 4,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.72 : 3,028.50 = 3,028.50 : x
  2. Step 2: Convert to fraction form
    2,150.72/3,028.50 = 3,028.50/x
  3. Step 3: Cross multiply
    2,150.72x = 3,028.50 × 3,028.50
  4. Step 4: Simplify right side
    2,150.72x = 9,171,812.25
  5. Step 5: Solve for x
    x = 9,171,812.25/2,150.72
  6. Step 6: Final answer
    x = 4,264.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.