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Finding the Third Proportional to 2,109 and 2,895

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Solution

The third proportional to 2,109 and 2,895 is: 3,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 2,895 = 2,895 : x
  2. Step 2: Convert to fraction form
    2,109/2,895 = 2,895/x
  3. Step 3: Cross multiply
    2,109x = 2,895 × 2,895
  4. Step 4: Simplify right side
    2,109x = 8,381,025
  5. Step 5: Solve for x
    x = 8,381,025/2,109
  6. Step 6: Final answer
    x = 3,973.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.