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Finding the Third Proportional to 10,178 and 20,614

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Solution

The third proportional to 10,178 and 20,614 is: 41,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178 : 20,614 = 20,614 : x
  2. Step 2: Convert to fraction form
    10,178/20,614 = 20,614/x
  3. Step 3: Cross multiply
    10,178x = 20,614 × 20,614
  4. Step 4: Simplify right side
    10,178x = 424,936,996
  5. Step 5: Solve for x
    x = 424,936,996/10,178
  6. Step 6: Final answer
    x = 41,750.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.