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Finding the Third Proportional to 2,996 and 6,055

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Solution

The third proportional to 2,996 and 6,055 is: 12,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996 : 6,055 = 6,055 : x
  2. Step 2: Convert to fraction form
    2,996/6,055 = 6,055/x
  3. Step 3: Cross multiply
    2,996x = 6,055 × 6,055
  4. Step 4: Simplify right side
    2,996x = 36,663,025
  5. Step 5: Solve for x
    x = 36,663,025/2,996
  6. Step 6: Final answer
    x = 12,237.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.