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Finding the Third Proportional to 2,563 and 3,795

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Solution

The third proportional to 2,563 and 3,795 is: 5,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563 : 3,795 = 3,795 : x
  2. Step 2: Convert to fraction form
    2,563/3,795 = 3,795/x
  3. Step 3: Cross multiply
    2,563x = 3,795 × 3,795
  4. Step 4: Simplify right side
    2,563x = 14,402,025
  5. Step 5: Solve for x
    x = 14,402,025/2,563
  6. Step 6: Final answer
    x = 5,619.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.