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Finding the Third Proportional to 4,745 and 5,177

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Solution

The third proportional to 4,745 and 5,177 is: 5,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745 : 5,177 = 5,177 : x
  2. Step 2: Convert to fraction form
    4,745/5,177 = 5,177/x
  3. Step 3: Cross multiply
    4,745x = 5,177 × 5,177
  4. Step 4: Simplify right side
    4,745x = 26,801,329
  5. Step 5: Solve for x
    x = 26,801,329/4,745
  6. Step 6: Final answer
    x = 5,648.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.