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Finding the Third Proportional to 12,838 and 27,593

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Solution

The third proportional to 12,838 and 27,593 is: 59,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 27,593 = 27,593 : x
  2. Step 2: Convert to fraction form
    12,838/27,593 = 27,593/x
  3. Step 3: Cross multiply
    12,838x = 27,593 × 27,593
  4. Step 4: Simplify right side
    12,838x = 761,373,649
  5. Step 5: Solve for x
    x = 761,373,649/12,838
  6. Step 6: Final answer
    x = 59,306.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.