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Finding the Third Proportional to 2,821.92 and 6,090.33

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Solution

The third proportional to 2,821.92 and 6,090.33 is: 13,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.92 : 6,090.33 = 6,090.33 : x
  2. Step 2: Convert to fraction form
    2,821.92/6,090.33 = 6,090.33/x
  3. Step 3: Cross multiply
    2,821.92x = 6,090.33 × 6,090.33
  4. Step 4: Simplify right side
    2,821.92x = 37,092,096.67
  5. Step 5: Solve for x
    x = 37,092,096.67/2,821.92
  6. Step 6: Final answer
    x = 13,144.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.