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Finding the Third Proportional to 1,522.83 and 3,330.42

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Solution

The third proportional to 1,522.83 and 3,330.42 is: 7,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.83 : 3,330.42 = 3,330.42 : x
  2. Step 2: Convert to fraction form
    1,522.83/3,330.42 = 3,330.42/x
  3. Step 3: Cross multiply
    1,522.83x = 3,330.42 × 3,330.42
  4. Step 4: Simplify right side
    1,522.83x = 11,091,709.87
  5. Step 5: Solve for x
    x = 11,091,709.87/1,522.83
  6. Step 6: Final answer
    x = 7,283.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.