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Finding the Third Proportional to 2,147.77 and 3,201.40

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Solution

The third proportional to 2,147.77 and 3,201.40 is: 4,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.77 : 3,201.40 = 3,201.40 : x
  2. Step 2: Convert to fraction form
    2,147.77/3,201.40 = 3,201.40/x
  3. Step 3: Cross multiply
    2,147.77x = 3,201.40 × 3,201.40
  4. Step 4: Simplify right side
    2,147.77x = 10,248,951.96
  5. Step 5: Solve for x
    x = 10,248,951.96/2,147.77
  6. Step 6: Final answer
    x = 4,771.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.