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Finding the Third Proportional to 2,037 and 2,581.50

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Solution

The third proportional to 2,037 and 2,581.50 is: 3,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 2,581.50 = 2,581.50 : x
  2. Step 2: Convert to fraction form
    2,037/2,581.50 = 2,581.50/x
  3. Step 3: Cross multiply
    2,037x = 2,581.50 × 2,581.50
  4. Step 4: Simplify right side
    2,037x = 6,664,142.25
  5. Step 5: Solve for x
    x = 6,664,142.25/2,037
  6. Step 6: Final answer
    x = 3,271.55

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.