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Finding the Third Proportional to 12,826 and 26,671

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Solution

The third proportional to 12,826 and 26,671 is: 55,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 26,671 = 26,671 : x
  2. Step 2: Convert to fraction form
    12,826/26,671 = 26,671/x
  3. Step 3: Cross multiply
    12,826x = 26,671 × 26,671
  4. Step 4: Simplify right side
    12,826x = 711,342,241
  5. Step 5: Solve for x
    x = 711,342,241/12,826
  6. Step 6: Final answer
    x = 55,460.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.