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Finding the Third Proportional to 2,996 and 7,246

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Solution

The third proportional to 2,996 and 7,246 is: 17,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996 : 7,246 = 7,246 : x
  2. Step 2: Convert to fraction form
    2,996/7,246 = 7,246/x
  3. Step 3: Cross multiply
    2,996x = 7,246 × 7,246
  4. Step 4: Simplify right side
    2,996x = 52,504,516
  5. Step 5: Solve for x
    x = 52,504,516/2,996
  6. Step 6: Final answer
    x = 17,524.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.