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Finding the Third Proportional to 1,412.44 and 3,072.94

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Solution

The third proportional to 1,412.44 and 3,072.94 is: 6,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.44 : 3,072.94 = 3,072.94 : x
  2. Step 2: Convert to fraction form
    1,412.44/3,072.94 = 3,072.94/x
  3. Step 3: Cross multiply
    1,412.44x = 3,072.94 × 3,072.94
  4. Step 4: Simplify right side
    1,412.44x = 9,442,944.88
  5. Step 5: Solve for x
    x = 9,442,944.88/1,412.44
  6. Step 6: Final answer
    x = 6,685.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.