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Finding the Third Proportional to 2,559.09 and 3,291.89

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Solution

The third proportional to 2,559.09 and 3,291.89 is: 4,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.09 : 3,291.89 = 3,291.89 : x
  2. Step 2: Convert to fraction form
    2,559.09/3,291.89 = 3,291.89/x
  3. Step 3: Cross multiply
    2,559.09x = 3,291.89 × 3,291.89
  4. Step 4: Simplify right side
    2,559.09x = 10,836,543.89
  5. Step 5: Solve for x
    x = 10,836,543.89/2,559.09
  6. Step 6: Final answer
    x = 4,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.