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Finding the Third Proportional to 2,511 and 5,406

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Solution

The third proportional to 2,511 and 5,406 is: 11,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 5,406 = 5,406 : x
  2. Step 2: Convert to fraction form
    2,511/5,406 = 5,406/x
  3. Step 3: Cross multiply
    2,511x = 5,406 × 5,406
  4. Step 4: Simplify right side
    2,511x = 29,224,836
  5. Step 5: Solve for x
    x = 29,224,836/2,511
  6. Step 6: Final answer
    x = 11,638.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.