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Finding the Third Proportional to 12,573 and 26,179

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Solution

The third proportional to 12,573 and 26,179 is: 54,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573 : 26,179 = 26,179 : x
  2. Step 2: Convert to fraction form
    12,573/26,179 = 26,179/x
  3. Step 3: Cross multiply
    12,573x = 26,179 × 26,179
  4. Step 4: Simplify right side
    12,573x = 685,340,041
  5. Step 5: Solve for x
    x = 685,340,041/12,573
  6. Step 6: Final answer
    x = 54,508.87

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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.