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Finding the Third Proportional to 1,158 and 3,084

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Solution

The third proportional to 1,158 and 3,084 is: 8,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158 : 3,084 = 3,084 : x
  2. Step 2: Convert to fraction form
    1,158/3,084 = 3,084/x
  3. Step 3: Cross multiply
    1,158x = 3,084 × 3,084
  4. Step 4: Simplify right side
    1,158x = 9,511,056
  5. Step 5: Solve for x
    x = 9,511,056/1,158
  6. Step 6: Final answer
    x = 8,213.35

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.