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Finding the Third Proportional to 2,994 and 8,052

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Solution

The third proportional to 2,994 and 8,052 is: 21,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 8,052 = 8,052 : x
  2. Step 2: Convert to fraction form
    2,994/8,052 = 8,052/x
  3. Step 3: Cross multiply
    2,994x = 8,052 × 8,052
  4. Step 4: Simplify right side
    2,994x = 64,834,704
  5. Step 5: Solve for x
    x = 64,834,704/2,994
  6. Step 6: Final answer
    x = 21,654.88

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.