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Finding the Third Proportional to 3,247 and 4,316.50

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Solution

The third proportional to 3,247 and 4,316.50 is: 5,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247 : 4,316.50 = 4,316.50 : x
  2. Step 2: Convert to fraction form
    3,247/4,316.50 = 4,316.50/x
  3. Step 3: Cross multiply
    3,247x = 4,316.50 × 4,316.50
  4. Step 4: Simplify right side
    3,247x = 18,632,172.25
  5. Step 5: Solve for x
    x = 18,632,172.25/3,247
  6. Step 6: Final answer
    x = 5,738.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.