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Finding the Third Proportional to 2,038 and 2,701

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Solution

The third proportional to 2,038 and 2,701 is: 3,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 2,701 = 2,701 : x
  2. Step 2: Convert to fraction form
    2,038/2,701 = 2,701/x
  3. Step 3: Cross multiply
    2,038x = 2,701 × 2,701
  4. Step 4: Simplify right side
    2,038x = 7,295,401
  5. Step 5: Solve for x
    x = 7,295,401/2,038
  6. Step 6: Final answer
    x = 3,579.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.