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Finding the Third Proportional to 2,643 and 5,895

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Solution

The third proportional to 2,643 and 5,895 is: 13,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 5,895 = 5,895 : x
  2. Step 2: Convert to fraction form
    2,643/5,895 = 5,895/x
  3. Step 3: Cross multiply
    2,643x = 5,895 × 5,895
  4. Step 4: Simplify right side
    2,643x = 34,751,025
  5. Step 5: Solve for x
    x = 34,751,025/2,643
  6. Step 6: Final answer
    x = 13,148.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.