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Finding the Third Proportional to 1,286 and 3,107

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Solution

The third proportional to 1,286 and 3,107 is: 7,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 3,107 = 3,107 : x
  2. Step 2: Convert to fraction form
    1,286/3,107 = 3,107/x
  3. Step 3: Cross multiply
    1,286x = 3,107 × 3,107
  4. Step 4: Simplify right side
    1,286x = 9,653,449
  5. Step 5: Solve for x
    x = 9,653,449/1,286
  6. Step 6: Final answer
    x = 7,506.57

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.