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Finding the Third Proportional to 27,684 and 39,555

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Solution

The third proportional to 27,684 and 39,555 is: 56,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 39,555 = 39,555 : x
  2. Step 2: Convert to fraction form
    27,684/39,555 = 39,555/x
  3. Step 3: Cross multiply
    27,684x = 39,555 × 39,555
  4. Step 4: Simplify right side
    27,684x = 1,564,598,025
  5. Step 5: Solve for x
    x = 1,564,598,025/27,684
  6. Step 6: Final answer
    x = 56,516.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.