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Finding the Third Proportional to 37,894.50 and 56,103

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Solution

The third proportional to 37,894.50 and 56,103 is: 83,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.50 : 56,103 = 56,103 : x
  2. Step 2: Convert to fraction form
    37,894.50/56,103 = 56,103/x
  3. Step 3: Cross multiply
    37,894.50x = 56,103 × 56,103
  4. Step 4: Simplify right side
    37,894.50x = 3,147,546,609
  5. Step 5: Solve for x
    x = 3,147,546,609/37,894.50
  6. Step 6: Final answer
    x = 83,060.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.