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Finding the Third Proportional to 2,996 and 7,154

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Solution

The third proportional to 2,996 and 7,154 is: 17,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996 : 7,154 = 7,154 : x
  2. Step 2: Convert to fraction form
    2,996/7,154 = 7,154/x
  3. Step 3: Cross multiply
    2,996x = 7,154 × 7,154
  4. Step 4: Simplify right side
    2,996x = 51,179,716
  5. Step 5: Solve for x
    x = 51,179,716/2,996
  6. Step 6: Final answer
    x = 17,082.68

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.