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Finding the Third Proportional to 2,994 and 3,606

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Solution

The third proportional to 2,994 and 3,606 is: 4,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 3,606 = 3,606 : x
  2. Step 2: Convert to fraction form
    2,994/3,606 = 3,606/x
  3. Step 3: Cross multiply
    2,994x = 3,606 × 3,606
  4. Step 4: Simplify right side
    2,994x = 13,003,236
  5. Step 5: Solve for x
    x = 13,003,236/2,994
  6. Step 6: Final answer
    x = 4,343.10

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.