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Finding the Third Proportional to 1,433.00 and 3,022.63

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Solution

The third proportional to 1,433.00 and 3,022.63 is: 6,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.00 : 3,022.63 = 3,022.63 : x
  2. Step 2: Convert to fraction form
    1,433.00/3,022.63 = 3,022.63/x
  3. Step 3: Cross multiply
    1,433.00x = 3,022.63 × 3,022.63
  4. Step 4: Simplify right side
    1,433.00x = 9,136,285.50
  5. Step 5: Solve for x
    x = 9,136,285.50/1,433.00
  6. Step 6: Final answer
    x = 6,375.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.