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Finding the Third Proportional to 2,104 and 2,509

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Solution

The third proportional to 2,104 and 2,509 is: 2,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 2,509 = 2,509 : x
  2. Step 2: Convert to fraction form
    2,104/2,509 = 2,509/x
  3. Step 3: Cross multiply
    2,104x = 2,509 × 2,509
  4. Step 4: Simplify right side
    2,104x = 6,295,081
  5. Step 5: Solve for x
    x = 6,295,081/2,104
  6. Step 6: Final answer
    x = 2,991.96

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.