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Finding the Third Proportional to 3,428.63 and 7,377.56

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Solution

The third proportional to 3,428.63 and 7,377.56 is: 15,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.63 : 7,377.56 = 7,377.56 : x
  2. Step 2: Convert to fraction form
    3,428.63/7,377.56 = 7,377.56/x
  3. Step 3: Cross multiply
    3,428.63x = 7,377.56 × 7,377.56
  4. Step 4: Simplify right side
    3,428.63x = 54,428,428.44
  5. Step 5: Solve for x
    x = 54,428,428.44/3,428.63
  6. Step 6: Final answer
    x = 15,874.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.