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Finding the Third Proportional to 1,462.64 and 2,600.86

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Solution

The third proportional to 1,462.64 and 2,600.86 is: 4,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.64 : 2,600.86 = 2,600.86 : x
  2. Step 2: Convert to fraction form
    1,462.64/2,600.86 = 2,600.86/x
  3. Step 3: Cross multiply
    1,462.64x = 2,600.86 × 2,600.86
  4. Step 4: Simplify right side
    1,462.64x = 6,764,469.49
  5. Step 5: Solve for x
    x = 6,764,469.49/1,462.64
  6. Step 6: Final answer
    x = 4,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.