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Finding the Third Proportional to 27,684 and 39,796

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Solution

The third proportional to 27,684 and 39,796 is: 57,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 39,796 = 39,796 : x
  2. Step 2: Convert to fraction form
    27,684/39,796 = 39,796/x
  3. Step 3: Cross multiply
    27,684x = 39,796 × 39,796
  4. Step 4: Simplify right side
    27,684x = 1,583,721,616
  5. Step 5: Solve for x
    x = 1,583,721,616/27,684
  6. Step 6: Final answer
    x = 57,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.