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Finding the Third Proportional to 2,749.57 and 4,254.40

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Solution

The third proportional to 2,749.57 and 4,254.40 is: 6,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.57 : 4,254.40 = 4,254.40 : x
  2. Step 2: Convert to fraction form
    2,749.57/4,254.40 = 4,254.40/x
  3. Step 3: Cross multiply
    2,749.57x = 4,254.40 × 4,254.40
  4. Step 4: Simplify right side
    2,749.57x = 18,099,906.07
  5. Step 5: Solve for x
    x = 18,099,906.07/2,749.57
  6. Step 6: Final answer
    x = 6,582.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.