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Finding the Third Proportional to 28,234.50 and 37,482

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Solution

The third proportional to 28,234.50 and 37,482 is: 49,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.50 : 37,482 = 37,482 : x
  2. Step 2: Convert to fraction form
    28,234.50/37,482 = 37,482/x
  3. Step 3: Cross multiply
    28,234.50x = 37,482 × 37,482
  4. Step 4: Simplify right side
    28,234.50x = 1,404,900,324
  5. Step 5: Solve for x
    x = 1,404,900,324/28,234.50
  6. Step 6: Final answer
    x = 49,758.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.