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Finding the Third Proportional to 2,665.75 and 4,034.75

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Solution

The third proportional to 2,665.75 and 4,034.75 is: 6,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.75 : 4,034.75 = 4,034.75 : x
  2. Step 2: Convert to fraction form
    2,665.75/4,034.75 = 4,034.75/x
  3. Step 3: Cross multiply
    2,665.75x = 4,034.75 × 4,034.75
  4. Step 4: Simplify right side
    2,665.75x = 16,279,207.56
  5. Step 5: Solve for x
    x = 16,279,207.56/2,665.75
  6. Step 6: Final answer
    x = 6,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.