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Finding the Third Proportional to 12,204 and 26,508

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Solution

The third proportional to 12,204 and 26,508 is: 57,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204 : 26,508 = 26,508 : x
  2. Step 2: Convert to fraction form
    12,204/26,508 = 26,508/x
  3. Step 3: Cross multiply
    12,204x = 26,508 × 26,508
  4. Step 4: Simplify right side
    12,204x = 702,674,064
  5. Step 5: Solve for x
    x = 702,674,064/12,204
  6. Step 6: Final answer
    x = 57,577.36

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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.