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Finding the Third Proportional to 2,533 and 3,813

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Solution

The third proportional to 2,533 and 3,813 is: 5,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533 : 3,813 = 3,813 : x
  2. Step 2: Convert to fraction form
    2,533/3,813 = 3,813/x
  3. Step 3: Cross multiply
    2,533x = 3,813 × 3,813
  4. Step 4: Simplify right side
    2,533x = 14,538,969
  5. Step 5: Solve for x
    x = 14,538,969/2,533
  6. Step 6: Final answer
    x = 5,739.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.