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Finding the Third Proportional to 2,596 and 4,026

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Solution

The third proportional to 2,596 and 4,026 is: 6,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 4,026 = 4,026 : x
  2. Step 2: Convert to fraction form
    2,596/4,026 = 4,026/x
  3. Step 3: Cross multiply
    2,596x = 4,026 × 4,026
  4. Step 4: Simplify right side
    2,596x = 16,208,676
  5. Step 5: Solve for x
    x = 16,208,676/2,596
  6. Step 6: Final answer
    x = 6,243.71

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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.