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Finding the Third Proportional to 1,442.81 and 3,356.44

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Solution

The third proportional to 1,442.81 and 3,356.44 is: 7,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.81 : 3,356.44 = 3,356.44 : x
  2. Step 2: Convert to fraction form
    1,442.81/3,356.44 = 3,356.44/x
  3. Step 3: Cross multiply
    1,442.81x = 3,356.44 × 3,356.44
  4. Step 4: Simplify right side
    1,442.81x = 11,265,672.69
  5. Step 5: Solve for x
    x = 11,265,672.69/1,442.81
  6. Step 6: Final answer
    x = 7,808.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.