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Finding the Third Proportional to 4,231.50 and 6,224.25

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Solution

The third proportional to 4,231.50 and 6,224.25 is: 9,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.50 : 6,224.25 = 6,224.25 : x
  2. Step 2: Convert to fraction form
    4,231.50/6,224.25 = 6,224.25/x
  3. Step 3: Cross multiply
    4,231.50x = 6,224.25 × 6,224.25
  4. Step 4: Simplify right side
    4,231.50x = 38,741,288.06
  5. Step 5: Solve for x
    x = 38,741,288.06/4,231.50
  6. Step 6: Final answer
    x = 9,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.