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Finding the Third Proportional to 1,368.56 and 2,942.44

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Solution

The third proportional to 1,368.56 and 2,942.44 is: 6,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.56 : 2,942.44 = 2,942.44 : x
  2. Step 2: Convert to fraction form
    1,368.56/2,942.44 = 2,942.44/x
  3. Step 3: Cross multiply
    1,368.56x = 2,942.44 × 2,942.44
  4. Step 4: Simplify right side
    1,368.56x = 8,657,938.44
  5. Step 5: Solve for x
    x = 8,657,938.44/1,368.56
  6. Step 6: Final answer
    x = 6,326.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.