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Finding the Third Proportional to 12,105 and 26,586

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Solution

The third proportional to 12,105 and 26,586 is: 58,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105 : 26,586 = 26,586 : x
  2. Step 2: Convert to fraction form
    12,105/26,586 = 26,586/x
  3. Step 3: Cross multiply
    12,105x = 26,586 × 26,586
  4. Step 4: Simplify right side
    12,105x = 706,815,396
  5. Step 5: Solve for x
    x = 706,815,396/12,105
  6. Step 6: Final answer
    x = 58,390.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.