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Finding the Third Proportional to 20,844 and 34,614

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Solution

The third proportional to 20,844 and 34,614 is: 57,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 34,614 = 34,614 : x
  2. Step 2: Convert to fraction form
    20,844/34,614 = 34,614/x
  3. Step 3: Cross multiply
    20,844x = 34,614 × 34,614
  4. Step 4: Simplify right side
    20,844x = 1,198,128,996
  5. Step 5: Solve for x
    x = 1,198,128,996/20,844
  6. Step 6: Final answer
    x = 57,480.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.