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Finding the Third Proportional to 2,822 and 3,994.50

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Solution

The third proportional to 2,822 and 3,994.50 is: 5,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822 : 3,994.50 = 3,994.50 : x
  2. Step 2: Convert to fraction form
    2,822/3,994.50 = 3,994.50/x
  3. Step 3: Cross multiply
    2,822x = 3,994.50 × 3,994.50
  4. Step 4: Simplify right side
    2,822x = 15,956,030.25
  5. Step 5: Solve for x
    x = 15,956,030.25/2,822
  6. Step 6: Final answer
    x = 5,654.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.