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Finding the Third Proportional to 12,745 and 27,443

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Solution

The third proportional to 12,745 and 27,443 is: 59,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745 : 27,443 = 27,443 : x
  2. Step 2: Convert to fraction form
    12,745/27,443 = 27,443/x
  3. Step 3: Cross multiply
    12,745x = 27,443 × 27,443
  4. Step 4: Simplify right side
    12,745x = 753,118,249
  5. Step 5: Solve for x
    x = 753,118,249/12,745
  6. Step 6: Final answer
    x = 59,091.27

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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.