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Finding the Third Proportional to 2,040.19 and 3,234.94

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Solution

The third proportional to 2,040.19 and 3,234.94 is: 5,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.19 : 3,234.94 = 3,234.94 : x
  2. Step 2: Convert to fraction form
    2,040.19/3,234.94 = 3,234.94/x
  3. Step 3: Cross multiply
    2,040.19x = 3,234.94 × 3,234.94
  4. Step 4: Simplify right side
    2,040.19x = 10,464,820.63
  5. Step 5: Solve for x
    x = 10,464,820.63/2,040.19
  6. Step 6: Final answer
    x = 5,129.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.