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Finding the Third Proportional to 20,178 and 26,551

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Solution

The third proportional to 20,178 and 26,551 is: 34,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 26,551 = 26,551 : x
  2. Step 2: Convert to fraction form
    20,178/26,551 = 26,551/x
  3. Step 3: Cross multiply
    20,178x = 26,551 × 26,551
  4. Step 4: Simplify right side
    20,178x = 704,955,601
  5. Step 5: Solve for x
    x = 704,955,601/20,178
  6. Step 6: Final answer
    x = 34,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.