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Finding the Third Proportional to 12,145 and 26,204

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Solution

The third proportional to 12,145 and 26,204 is: 56,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145 : 26,204 = 26,204 : x
  2. Step 2: Convert to fraction form
    12,145/26,204 = 26,204/x
  3. Step 3: Cross multiply
    12,145x = 26,204 × 26,204
  4. Step 4: Simplify right side
    12,145x = 686,649,616
  5. Step 5: Solve for x
    x = 686,649,616/12,145
  6. Step 6: Final answer
    x = 56,537.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.