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Finding the Third Proportional to 2,086 and 2,874.50

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Solution

The third proportional to 2,086 and 2,874.50 is: 3,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086 : 2,874.50 = 2,874.50 : x
  2. Step 2: Convert to fraction form
    2,086/2,874.50 = 2,874.50/x
  3. Step 3: Cross multiply
    2,086x = 2,874.50 × 2,874.50
  4. Step 4: Simplify right side
    2,086x = 8,262,750.25
  5. Step 5: Solve for x
    x = 8,262,750.25/2,086
  6. Step 6: Final answer
    x = 3,961.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.