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Finding the Third Proportional to 1,490.06 and 3,213.84

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Solution

The third proportional to 1,490.06 and 3,213.84 is: 6,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.06 : 3,213.84 = 3,213.84 : x
  2. Step 2: Convert to fraction form
    1,490.06/3,213.84 = 3,213.84/x
  3. Step 3: Cross multiply
    1,490.06x = 3,213.84 × 3,213.84
  4. Step 4: Simplify right side
    1,490.06x = 10,328,791.65
  5. Step 5: Solve for x
    x = 10,328,791.65/1,490.06
  6. Step 6: Final answer
    x = 6,931.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.