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Finding the Third Proportional to 20,538 and 44,189.16

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Solution

The third proportional to 20,538 and 44,189.16 is: 95,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 44,189.16 = 44,189.16 : x
  2. Step 2: Convert to fraction form
    20,538/44,189.16 = 44,189.16/x
  3. Step 3: Cross multiply
    20,538x = 44,189.16 × 44,189.16
  4. Step 4: Simplify right side
    20,538x = 1,952,681,530.09
  5. Step 5: Solve for x
    x = 1,952,681,530.09/20,538
  6. Step 6: Final answer
    x = 95,076.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.