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Finding the Third Proportional to 37,155.38 and 75,603.38

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Solution

The third proportional to 37,155.38 and 75,603.38 is: 153,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155.38 : 75,603.38 = 75,603.38 : x
  2. Step 2: Convert to fraction form
    37,155.38/75,603.38 = 75,603.38/x
  3. Step 3: Cross multiply
    37,155.38x = 75,603.38 × 75,603.38
  4. Step 4: Simplify right side
    37,155.38x = 5,715,870,311.39
  5. Step 5: Solve for x
    x = 5,715,870,311.39/37,155.38
  6. Step 6: Final answer
    x = 153,836.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.