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Finding the Third Proportional to 1,299.66 and 2,034.84

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Solution

The third proportional to 1,299.66 and 2,034.84 is: 3,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.66 : 2,034.84 = 2,034.84 : x
  2. Step 2: Convert to fraction form
    1,299.66/2,034.84 = 2,034.84/x
  3. Step 3: Cross multiply
    1,299.66x = 2,034.84 × 2,034.84
  4. Step 4: Simplify right side
    1,299.66x = 4,140,589.09
  5. Step 5: Solve for x
    x = 4,140,589.09/1,299.66
  6. Step 6: Final answer
    x = 3,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.