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Finding the Third Proportional to 20,539 and 42,049.25

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Solution

The third proportional to 20,539 and 42,049.25 is: 86,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539 : 42,049.25 = 42,049.25 : x
  2. Step 2: Convert to fraction form
    20,539/42,049.25 = 42,049.25/x
  3. Step 3: Cross multiply
    20,539x = 42,049.25 × 42,049.25
  4. Step 4: Simplify right side
    20,539x = 1,768,139,425.56
  5. Step 5: Solve for x
    x = 1,768,139,425.56/20,539
  6. Step 6: Final answer
    x = 86,086.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.