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Finding the Third Proportional to 1,728.42 and 2,740.92

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Solution

The third proportional to 1,728.42 and 2,740.92 is: 4,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.42 : 2,740.92 = 2,740.92 : x
  2. Step 2: Convert to fraction form
    1,728.42/2,740.92 = 2,740.92/x
  3. Step 3: Cross multiply
    1,728.42x = 2,740.92 × 2,740.92
  4. Step 4: Simplify right side
    1,728.42x = 7,512,652.72
  5. Step 5: Solve for x
    x = 7,512,652.72/1,728.42
  6. Step 6: Final answer
    x = 4,346.54

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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.