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Finding the Third Proportional to 1,265 and 2,731

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Solution

The third proportional to 1,265 and 2,731 is: 5,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265 : 2,731 = 2,731 : x
  2. Step 2: Convert to fraction form
    1,265/2,731 = 2,731/x
  3. Step 3: Cross multiply
    1,265x = 2,731 × 2,731
  4. Step 4: Simplify right side
    1,265x = 7,458,361
  5. Step 5: Solve for x
    x = 7,458,361/1,265
  6. Step 6: Final answer
    x = 5,895.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.