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Finding the Third Proportional to 12,523 and 26,443

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Solution

The third proportional to 12,523 and 26,443 is: 55,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523 : 26,443 = 26,443 : x
  2. Step 2: Convert to fraction form
    12,523/26,443 = 26,443/x
  3. Step 3: Cross multiply
    12,523x = 26,443 × 26,443
  4. Step 4: Simplify right side
    12,523x = 699,232,249
  5. Step 5: Solve for x
    x = 699,232,249/12,523
  6. Step 6: Final answer
    x = 55,835.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.