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Finding the Third Proportional to 5,228.72 and 7,313.41

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Solution

The third proportional to 5,228.72 and 7,313.41 is: 10,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.72 : 7,313.41 = 7,313.41 : x
  2. Step 2: Convert to fraction form
    5,228.72/7,313.41 = 7,313.41/x
  3. Step 3: Cross multiply
    5,228.72x = 7,313.41 × 7,313.41
  4. Step 4: Simplify right side
    5,228.72x = 53,486,025.25
  5. Step 5: Solve for x
    x = 53,486,025.25/5,228.72
  6. Step 6: Final answer
    x = 10,229.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.