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Finding the Third Proportional to 2,719.69 and 3,003.19

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Solution

The third proportional to 2,719.69 and 3,003.19 is: 3,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.69 : 3,003.19 = 3,003.19 : x
  2. Step 2: Convert to fraction form
    2,719.69/3,003.19 = 3,003.19/x
  3. Step 3: Cross multiply
    2,719.69x = 3,003.19 × 3,003.19
  4. Step 4: Simplify right side
    2,719.69x = 9,019,135.16
  5. Step 5: Solve for x
    x = 9,019,135.16/2,719.69
  6. Step 6: Final answer
    x = 3,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.