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Finding the Third Proportional to 1,493.02 and 3,283.88

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Solution

The third proportional to 1,493.02 and 3,283.88 is: 7,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.02 : 3,283.88 = 3,283.88 : x
  2. Step 2: Convert to fraction form
    1,493.02/3,283.88 = 3,283.88/x
  3. Step 3: Cross multiply
    1,493.02x = 3,283.88 × 3,283.88
  4. Step 4: Simplify right side
    1,493.02x = 10,783,835.02
  5. Step 5: Solve for x
    x = 10,783,835.02/1,493.02
  6. Step 6: Final answer
    x = 7,222.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.