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Finding the Third Proportional to 12,379 and 26,054

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Solution

The third proportional to 12,379 and 26,054 is: 54,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379 : 26,054 = 26,054 : x
  2. Step 2: Convert to fraction form
    12,379/26,054 = 26,054/x
  3. Step 3: Cross multiply
    12,379x = 26,054 × 26,054
  4. Step 4: Simplify right side
    12,379x = 678,810,916
  5. Step 5: Solve for x
    x = 678,810,916/12,379
  6. Step 6: Final answer
    x = 54,835.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.