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Finding the Third Proportional to 2,883.09 and 4,828.36

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Solution

The third proportional to 2,883.09 and 4,828.36 is: 8,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.09 : 4,828.36 = 4,828.36 : x
  2. Step 2: Convert to fraction form
    2,883.09/4,828.36 = 4,828.36/x
  3. Step 3: Cross multiply
    2,883.09x = 4,828.36 × 4,828.36
  4. Step 4: Simplify right side
    2,883.09x = 23,313,054.25
  5. Step 5: Solve for x
    x = 23,313,054.25/2,883.09
  6. Step 6: Final answer
    x = 8,086.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.