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Finding the Third Proportional to 4,658 and 5,170

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Solution

The third proportional to 4,658 and 5,170 is: 5,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 5,170 = 5,170 : x
  2. Step 2: Convert to fraction form
    4,658/5,170 = 5,170/x
  3. Step 3: Cross multiply
    4,658x = 5,170 × 5,170
  4. Step 4: Simplify right side
    4,658x = 26,728,900
  5. Step 5: Solve for x
    x = 26,728,900/4,658
  6. Step 6: Final answer
    x = 5,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.