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Finding the Third Proportional to 2,511 and 4,938

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Solution

The third proportional to 2,511 and 4,938 is: 9,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 4,938 = 4,938 : x
  2. Step 2: Convert to fraction form
    2,511/4,938 = 4,938/x
  3. Step 3: Cross multiply
    2,511x = 4,938 × 4,938
  4. Step 4: Simplify right side
    2,511x = 24,383,844
  5. Step 5: Solve for x
    x = 24,383,844/2,511
  6. Step 6: Final answer
    x = 9,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.