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Finding the Third Proportional to 1,738.02 and 2,674.42

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Solution

The third proportional to 1,738.02 and 2,674.42 is: 4,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.02 : 2,674.42 = 2,674.42 : x
  2. Step 2: Convert to fraction form
    1,738.02/2,674.42 = 2,674.42/x
  3. Step 3: Cross multiply
    1,738.02x = 2,674.42 × 2,674.42
  4. Step 4: Simplify right side
    1,738.02x = 7,152,542.81
  5. Step 5: Solve for x
    x = 7,152,542.81/1,738.02
  6. Step 6: Final answer
    x = 4,115.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.