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Finding the Third Proportional to 1,277 and 2,595

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Solution

The third proportional to 1,277 and 2,595 is: 5,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277 : 2,595 = 2,595 : x
  2. Step 2: Convert to fraction form
    1,277/2,595 = 2,595/x
  3. Step 3: Cross multiply
    1,277x = 2,595 × 2,595
  4. Step 4: Simplify right side
    1,277x = 6,734,025
  5. Step 5: Solve for x
    x = 6,734,025/1,277
  6. Step 6: Final answer
    x = 5,273.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.