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Finding the Third Proportional to 1,189 and 2,508

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Solution

The third proportional to 1,189 and 2,508 is: 5,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189 : 2,508 = 2,508 : x
  2. Step 2: Convert to fraction form
    1,189/2,508 = 2,508/x
  3. Step 3: Cross multiply
    1,189x = 2,508 × 2,508
  4. Step 4: Simplify right side
    1,189x = 6,290,064
  5. Step 5: Solve for x
    x = 6,290,064/1,189
  6. Step 6: Final answer
    x = 5,290.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.