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Finding the Third Proportional to 1,078 and 2,911

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Solution

The third proportional to 1,078 and 2,911 is: 7,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078 : 2,911 = 2,911 : x
  2. Step 2: Convert to fraction form
    1,078/2,911 = 2,911/x
  3. Step 3: Cross multiply
    1,078x = 2,911 × 2,911
  4. Step 4: Simplify right side
    1,078x = 8,473,921
  5. Step 5: Solve for x
    x = 8,473,921/1,078
  6. Step 6: Final answer
    x = 7,860.78

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.