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Finding the Third Proportional to 30,351.38 and 61,907.63

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Solution

The third proportional to 30,351.38 and 61,907.63 is: 126,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351.38 : 61,907.63 = 61,907.63 : x
  2. Step 2: Convert to fraction form
    30,351.38/61,907.63 = 61,907.63/x
  3. Step 3: Cross multiply
    30,351.38x = 61,907.63 × 61,907.63
  4. Step 4: Simplify right side
    30,351.38x = 3,832,554,033.14
  5. Step 5: Solve for x
    x = 3,832,554,033.14/30,351.38
  6. Step 6: Final answer
    x = 126,272.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.