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Finding the Third Proportional to 12,005 and 26,197

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Solution

The third proportional to 12,005 and 26,197 is: 57,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 26,197 = 26,197 : x
  2. Step 2: Convert to fraction form
    12,005/26,197 = 26,197/x
  3. Step 3: Cross multiply
    12,005x = 26,197 × 26,197
  4. Step 4: Simplify right side
    12,005x = 686,282,809
  5. Step 5: Solve for x
    x = 686,282,809/12,005
  6. Step 6: Final answer
    x = 57,166.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.