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Finding the Third Proportional to 12,809 and 26,257

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Solution

The third proportional to 12,809 and 26,257 is: 53,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809 : 26,257 = 26,257 : x
  2. Step 2: Convert to fraction form
    12,809/26,257 = 26,257/x
  3. Step 3: Cross multiply
    12,809x = 26,257 × 26,257
  4. Step 4: Simplify right side
    12,809x = 689,430,049
  5. Step 5: Solve for x
    x = 689,430,049/12,809
  6. Step 6: Final answer
    x = 53,823.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.