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Finding the Third Proportional to 27,502.03 and 37,138.78

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Solution

The third proportional to 27,502.03 and 37,138.78 is: 50,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.03 : 37,138.78 = 37,138.78 : x
  2. Step 2: Convert to fraction form
    27,502.03/37,138.78 = 37,138.78/x
  3. Step 3: Cross multiply
    27,502.03x = 37,138.78 × 37,138.78
  4. Step 4: Simplify right side
    27,502.03x = 1,379,289,072.74
  5. Step 5: Solve for x
    x = 1,379,289,072.74/27,502.03
  6. Step 6: Final answer
    x = 50,152.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.