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Finding the Third Proportional to 20,725.88 and 42,013.69

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Solution

The third proportional to 20,725.88 and 42,013.69 is: 85,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.88 : 42,013.69 = 42,013.69 : x
  2. Step 2: Convert to fraction form
    20,725.88/42,013.69 = 42,013.69/x
  3. Step 3: Cross multiply
    20,725.88x = 42,013.69 × 42,013.69
  4. Step 4: Simplify right side
    20,725.88x = 1,765,149,937.35
  5. Step 5: Solve for x
    x = 1,765,149,937.35/20,725.88
  6. Step 6: Final answer
    x = 85,166.49

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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.