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Finding the Third Proportional to 27,384.75 and 55,755

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Solution

The third proportional to 27,384.75 and 55,755 is: 113,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.75 : 55,755 = 55,755 : x
  2. Step 2: Convert to fraction form
    27,384.75/55,755 = 55,755/x
  3. Step 3: Cross multiply
    27,384.75x = 55,755 × 55,755
  4. Step 4: Simplify right side
    27,384.75x = 3,108,620,025
  5. Step 5: Solve for x
    x = 3,108,620,025/27,384.75
  6. Step 6: Final answer
    x = 113,516.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.