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Finding the Third Proportional to 3,025.63 and 6,328.38

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Solution

The third proportional to 3,025.63 and 6,328.38 is: 13,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.63 : 6,328.38 = 6,328.38 : x
  2. Step 2: Convert to fraction form
    3,025.63/6,328.38 = 6,328.38/x
  3. Step 3: Cross multiply
    3,025.63x = 6,328.38 × 6,328.38
  4. Step 4: Simplify right side
    3,025.63x = 40,048,330.14
  5. Step 5: Solve for x
    x = 40,048,330.14/3,025.63
  6. Step 6: Final answer
    x = 13,236.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.