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Finding the Third Proportional to 37,545.75 and 87,303.38

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Solution

The third proportional to 37,545.75 and 87,303.38 is: 203,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545.75 : 87,303.38 = 87,303.38 : x
  2. Step 2: Convert to fraction form
    37,545.75/87,303.38 = 87,303.38/x
  3. Step 3: Cross multiply
    37,545.75x = 87,303.38 × 87,303.38
  4. Step 4: Simplify right side
    37,545.75x = 7,621,879,286.39
  5. Step 5: Solve for x
    x = 7,621,879,286.39/37,545.75
  6. Step 6: Final answer
    x = 203,002.45

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.