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Finding the Third Proportional to 5,096.75 and 7,836.38

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Solution

The third proportional to 5,096.75 and 7,836.38 is: 12,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.75 : 7,836.38 = 7,836.38 : x
  2. Step 2: Convert to fraction form
    5,096.75/7,836.38 = 7,836.38/x
  3. Step 3: Cross multiply
    5,096.75x = 7,836.38 × 7,836.38
  4. Step 4: Simplify right side
    5,096.75x = 61,408,773.14
  5. Step 5: Solve for x
    x = 61,408,773.14/5,096.75
  6. Step 6: Final answer
    x = 12,048.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.