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Finding the Third Proportional to 2,540 and 4,094

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Solution

The third proportional to 2,540 and 4,094 is: 6,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540 : 4,094 = 4,094 : x
  2. Step 2: Convert to fraction form
    2,540/4,094 = 4,094/x
  3. Step 3: Cross multiply
    2,540x = 4,094 × 4,094
  4. Step 4: Simplify right side
    2,540x = 16,760,836
  5. Step 5: Solve for x
    x = 16,760,836/2,540
  6. Step 6: Final answer
    x = 6,598.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.