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Finding the Third Proportional to 2,235.94 and 3,288.94

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Solution

The third proportional to 2,235.94 and 3,288.94 is: 4,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.94 : 3,288.94 = 3,288.94 : x
  2. Step 2: Convert to fraction form
    2,235.94/3,288.94 = 3,288.94/x
  3. Step 3: Cross multiply
    2,235.94x = 3,288.94 × 3,288.94
  4. Step 4: Simplify right side
    2,235.94x = 10,817,109.88
  5. Step 5: Solve for x
    x = 10,817,109.88/2,235.94
  6. Step 6: Final answer
    x = 4,837.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.