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Finding the Third Proportional to 2,086 and 3,126

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Solution

The third proportional to 2,086 and 3,126 is: 4,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086 : 3,126 = 3,126 : x
  2. Step 2: Convert to fraction form
    2,086/3,126 = 3,126/x
  3. Step 3: Cross multiply
    2,086x = 3,126 × 3,126
  4. Step 4: Simplify right side
    2,086x = 9,771,876
  5. Step 5: Solve for x
    x = 9,771,876/2,086
  6. Step 6: Final answer
    x = 4,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.