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Finding the Third Proportional to 3,057.75 and 3,348.84

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Solution

The third proportional to 3,057.75 and 3,348.84 is: 3,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.75 : 3,348.84 = 3,348.84 : x
  2. Step 2: Convert to fraction form
    3,057.75/3,348.84 = 3,348.84/x
  3. Step 3: Cross multiply
    3,057.75x = 3,348.84 × 3,348.84
  4. Step 4: Simplify right side
    3,057.75x = 11,214,754.46
  5. Step 5: Solve for x
    x = 11,214,754.46/3,057.75
  6. Step 6: Final answer
    x = 3,667.65

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.