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Finding the Third Proportional to 2,038 and 3,779

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Solution

The third proportional to 2,038 and 3,779 is: 7,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 3,779 = 3,779 : x
  2. Step 2: Convert to fraction form
    2,038/3,779 = 3,779/x
  3. Step 3: Cross multiply
    2,038x = 3,779 × 3,779
  4. Step 4: Simplify right side
    2,038x = 14,280,841
  5. Step 5: Solve for x
    x = 14,280,841/2,038
  6. Step 6: Final answer
    x = 7,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.