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Finding the Third Proportional to 2,086 and 3,124

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Solution

The third proportional to 2,086 and 3,124 is: 4,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086 : 3,124 = 3,124 : x
  2. Step 2: Convert to fraction form
    2,086/3,124 = 3,124/x
  3. Step 3: Cross multiply
    2,086x = 3,124 × 3,124
  4. Step 4: Simplify right side
    2,086x = 9,759,376
  5. Step 5: Solve for x
    x = 9,759,376/2,086
  6. Step 6: Final answer
    x = 4,678.51

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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.