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Finding the Third Proportional to 4,172.50 and 5,869

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Solution

The third proportional to 4,172.50 and 5,869 is: 8,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.50 : 5,869 = 5,869 : x
  2. Step 2: Convert to fraction form
    4,172.50/5,869 = 5,869/x
  3. Step 3: Cross multiply
    4,172.50x = 5,869 × 5,869
  4. Step 4: Simplify right side
    4,172.50x = 34,445,161
  5. Step 5: Solve for x
    x = 34,445,161/4,172.50
  6. Step 6: Final answer
    x = 8,255.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.