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Finding the Third Proportional to 2,659.29 and 4,059.64

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Solution

The third proportional to 2,659.29 and 4,059.64 is: 6,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.29 : 4,059.64 = 4,059.64 : x
  2. Step 2: Convert to fraction form
    2,659.29/4,059.64 = 4,059.64/x
  3. Step 3: Cross multiply
    2,659.29x = 4,059.64 × 4,059.64
  4. Step 4: Simplify right side
    2,659.29x = 16,480,687.28
  5. Step 5: Solve for x
    x = 16,480,687.28/2,659.29
  6. Step 6: Final answer
    x = 6,197.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.