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Finding the Third Proportional to 4,567 and 6,851

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Solution

The third proportional to 4,567 and 6,851 is: 10,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,851 = 6,851 : x
  2. Step 2: Convert to fraction form
    4,567/6,851 = 6,851/x
  3. Step 3: Cross multiply
    4,567x = 6,851 × 6,851
  4. Step 4: Simplify right side
    4,567x = 46,936,201
  5. Step 5: Solve for x
    x = 46,936,201/4,567
  6. Step 6: Final answer
    x = 10,277.25

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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.