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Finding the Third Proportional to 1,674.42 and 1,930.08

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Solution

The third proportional to 1,674.42 and 1,930.08 is: 2,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.42 : 1,930.08 = 1,930.08 : x
  2. Step 2: Convert to fraction form
    1,674.42/1,930.08 = 1,930.08/x
  3. Step 3: Cross multiply
    1,674.42x = 1,930.08 × 1,930.08
  4. Step 4: Simplify right side
    1,674.42x = 3,725,201.57
  5. Step 5: Solve for x
    x = 3,725,201.57/1,674.42
  6. Step 6: Final answer
    x = 2,224.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.