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Finding the Third Proportional to 12,089 and 26,257

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Solution

The third proportional to 12,089 and 26,257 is: 57,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089 : 26,257 = 26,257 : x
  2. Step 2: Convert to fraction form
    12,089/26,257 = 26,257/x
  3. Step 3: Cross multiply
    12,089x = 26,257 × 26,257
  4. Step 4: Simplify right side
    12,089x = 689,430,049
  5. Step 5: Solve for x
    x = 689,430,049/12,089
  6. Step 6: Final answer
    x = 57,029.54

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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.