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Finding the Third Proportional to 2,596 and 3,838

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Solution

The third proportional to 2,596 and 3,838 is: 5,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,838 = 3,838 : x
  2. Step 2: Convert to fraction form
    2,596/3,838 = 3,838/x
  3. Step 3: Cross multiply
    2,596x = 3,838 × 3,838
  4. Step 4: Simplify right side
    2,596x = 14,730,244
  5. Step 5: Solve for x
    x = 14,730,244/2,596
  6. Step 6: Final answer
    x = 5,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.