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Finding the Third Proportional to 4,101.75 and 9,678.38

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Solution

The third proportional to 4,101.75 and 9,678.38 is: 22,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.75 : 9,678.38 = 9,678.38 : x
  2. Step 2: Convert to fraction form
    4,101.75/9,678.38 = 9,678.38/x
  3. Step 3: Cross multiply
    4,101.75x = 9,678.38 × 9,678.38
  4. Step 4: Simplify right side
    4,101.75x = 93,670,942.64
  5. Step 5: Solve for x
    x = 93,670,942.64/4,101.75
  6. Step 6: Final answer
    x = 22,836.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.