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Finding the Third Proportional to 3,438.38 and 5,076.38

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Solution

The third proportional to 3,438.38 and 5,076.38 is: 7,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.38 : 5,076.38 = 5,076.38 : x
  2. Step 2: Convert to fraction form
    3,438.38/5,076.38 = 5,076.38/x
  3. Step 3: Cross multiply
    3,438.38x = 5,076.38 × 5,076.38
  4. Step 4: Simplify right side
    3,438.38x = 25,769,583.14
  5. Step 5: Solve for x
    x = 25,769,583.14/3,438.38
  6. Step 6: Final answer
    x = 7,494.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.