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Finding the Third Proportional to 2,738 and 4,779

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Solution

The third proportional to 2,738 and 4,779 is: 8,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738 : 4,779 = 4,779 : x
  2. Step 2: Convert to fraction form
    2,738/4,779 = 4,779/x
  3. Step 3: Cross multiply
    2,738x = 4,779 × 4,779
  4. Step 4: Simplify right side
    2,738x = 22,838,841
  5. Step 5: Solve for x
    x = 22,838,841/2,738
  6. Step 6: Final answer
    x = 8,341.43

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.