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Finding the Third Proportional to 4,551.82 and 6,828.05

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Solution

The third proportional to 4,551.82 and 6,828.05 is: 10,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.82 : 6,828.05 = 6,828.05 : x
  2. Step 2: Convert to fraction form
    4,551.82/6,828.05 = 6,828.05/x
  3. Step 3: Cross multiply
    4,551.82x = 6,828.05 × 6,828.05
  4. Step 4: Simplify right side
    4,551.82x = 46,622,224.13
  5. Step 5: Solve for x
    x = 46,622,224.13/4,551.82
  6. Step 6: Final answer
    x = 10,242.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.