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Finding the Third Proportional to 3,072.94 and 3,303.28

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Solution

The third proportional to 3,072.94 and 3,303.28 is: 3,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 3,303.28 = 3,303.28 : x
  2. Step 2: Convert to fraction form
    3,072.94/3,303.28 = 3,303.28/x
  3. Step 3: Cross multiply
    3,072.94x = 3,303.28 × 3,303.28
  4. Step 4: Simplify right side
    3,072.94x = 10,911,667.02
  5. Step 5: Solve for x
    x = 10,911,667.02/3,072.94
  6. Step 6: Final answer
    x = 3,550.89

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.