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Finding the Third Proportional to 1,284.05 and 2,768.91

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Solution

The third proportional to 1,284.05 and 2,768.91 is: 5,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.05 : 2,768.91 = 2,768.91 : x
  2. Step 2: Convert to fraction form
    1,284.05/2,768.91 = 2,768.91/x
  3. Step 3: Cross multiply
    1,284.05x = 2,768.91 × 2,768.91
  4. Step 4: Simplify right side
    1,284.05x = 7,666,841.82
  5. Step 5: Solve for x
    x = 7,666,841.82/1,284.05
  6. Step 6: Final answer
    x = 5,970.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.