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Finding the Third Proportional to 3,397.78 and 7,203.94

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Solution

The third proportional to 3,397.78 and 7,203.94 is: 15,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.78 : 7,203.94 = 7,203.94 : x
  2. Step 2: Convert to fraction form
    3,397.78/7,203.94 = 7,203.94/x
  3. Step 3: Cross multiply
    3,397.78x = 7,203.94 × 7,203.94
  4. Step 4: Simplify right side
    3,397.78x = 51,896,715.50
  5. Step 5: Solve for x
    x = 51,896,715.50/3,397.78
  6. Step 6: Final answer
    x = 15,273.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.