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Finding the Third Proportional to 2,155.78 and 3,523.92

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Solution

The third proportional to 2,155.78 and 3,523.92 is: 5,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 3,523.92 = 3,523.92 : x
  2. Step 2: Convert to fraction form
    2,155.78/3,523.92 = 3,523.92/x
  3. Step 3: Cross multiply
    2,155.78x = 3,523.92 × 3,523.92
  4. Step 4: Simplify right side
    2,155.78x = 12,418,025.38
  5. Step 5: Solve for x
    x = 12,418,025.38/2,155.78
  6. Step 6: Final answer
    x = 5,760.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.