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Finding the Third Proportional to 3,276.84 and 7,017.12

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Solution

The third proportional to 3,276.84 and 7,017.12 is: 15,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.84 : 7,017.12 = 7,017.12 : x
  2. Step 2: Convert to fraction form
    3,276.84/7,017.12 = 7,017.12/x
  3. Step 3: Cross multiply
    3,276.84x = 7,017.12 × 7,017.12
  4. Step 4: Simplify right side
    3,276.84x = 49,239,933.62
  5. Step 5: Solve for x
    x = 49,239,933.62/3,276.84
  6. Step 6: Final answer
    x = 15,026.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.