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Finding the Third Proportional to 2,046 and 3,519

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Solution

The third proportional to 2,046 and 3,519 is: 6,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,519 = 3,519 : x
  2. Step 2: Convert to fraction form
    2,046/3,519 = 3,519/x
  3. Step 3: Cross multiply
    2,046x = 3,519 × 3,519
  4. Step 4: Simplify right side
    2,046x = 12,383,361
  5. Step 5: Solve for x
    x = 12,383,361/2,046
  6. Step 6: Final answer
    x = 6,052.47

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.