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Finding the Third Proportional to 2,083 and 5,035

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Solution

The third proportional to 2,083 and 5,035 is: 12,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 5,035 = 5,035 : x
  2. Step 2: Convert to fraction form
    2,083/5,035 = 5,035/x
  3. Step 3: Cross multiply
    2,083x = 5,035 × 5,035
  4. Step 4: Simplify right side
    2,083x = 25,351,225
  5. Step 5: Solve for x
    x = 25,351,225/2,083
  6. Step 6: Final answer
    x = 12,170.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.