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Finding the Third Proportional to 27,864 and 39,609

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Solution

The third proportional to 27,864 and 39,609 is: 56,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 39,609 = 39,609 : x
  2. Step 2: Convert to fraction form
    27,864/39,609 = 39,609/x
  3. Step 3: Cross multiply
    27,864x = 39,609 × 39,609
  4. Step 4: Simplify right side
    27,864x = 1,568,872,881
  5. Step 5: Solve for x
    x = 1,568,872,881/27,864
  6. Step 6: Final answer
    x = 56,304.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.