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Finding the Third Proportional to 28,234.69 and 37,641.13

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Solution

The third proportional to 28,234.69 and 37,641.13 is: 50,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.69 : 37,641.13 = 37,641.13 : x
  2. Step 2: Convert to fraction form
    28,234.69/37,641.13 = 37,641.13/x
  3. Step 3: Cross multiply
    28,234.69x = 37,641.13 × 37,641.13
  4. Step 4: Simplify right side
    28,234.69x = 1,416,854,291.27
  5. Step 5: Solve for x
    x = 1,416,854,291.27/28,234.69
  6. Step 6: Final answer
    x = 50,181.33

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Why These Related Problems?

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