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Finding the Third Proportional to 2,540 and 4,038

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Solution

The third proportional to 2,540 and 4,038 is: 6,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540 : 4,038 = 4,038 : x
  2. Step 2: Convert to fraction form
    2,540/4,038 = 4,038/x
  3. Step 3: Cross multiply
    2,540x = 4,038 × 4,038
  4. Step 4: Simplify right side
    2,540x = 16,305,444
  5. Step 5: Solve for x
    x = 16,305,444/2,540
  6. Step 6: Final answer
    x = 6,419.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.