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Finding the Third Proportional to 2,024.44 and 2,719.97

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Solution

The third proportional to 2,024.44 and 2,719.97 is: 3,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.44 : 2,719.97 = 2,719.97 : x
  2. Step 2: Convert to fraction form
    2,024.44/2,719.97 = 2,719.97/x
  3. Step 3: Cross multiply
    2,024.44x = 2,719.97 × 2,719.97
  4. Step 4: Simplify right side
    2,024.44x = 7,398,230.00
  5. Step 5: Solve for x
    x = 7,398,230.00/2,024.44
  6. Step 6: Final answer
    x = 3,654.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.