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Finding the Third Proportional to 12,059 and 26,123

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Solution

The third proportional to 12,059 and 26,123 is: 56,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059 : 26,123 = 26,123 : x
  2. Step 2: Convert to fraction form
    12,059/26,123 = 26,123/x
  3. Step 3: Cross multiply
    12,059x = 26,123 × 26,123
  4. Step 4: Simplify right side
    12,059x = 682,411,129
  5. Step 5: Solve for x
    x = 682,411,129/12,059
  6. Step 6: Final answer
    x = 56,589.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.