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Finding the Third Proportional to 4,705 and 5,183

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Solution

The third proportional to 4,705 and 5,183 is: 5,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 5,183 = 5,183 : x
  2. Step 2: Convert to fraction form
    4,705/5,183 = 5,183/x
  3. Step 3: Cross multiply
    4,705x = 5,183 × 5,183
  4. Step 4: Simplify right side
    4,705x = 26,863,489
  5. Step 5: Solve for x
    x = 26,863,489/4,705
  6. Step 6: Final answer
    x = 5,709.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.