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Finding the Third Proportional to 20,129.25 and 43,726.75

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Solution

The third proportional to 20,129.25 and 43,726.75 is: 94,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.25 : 43,726.75 = 43,726.75 : x
  2. Step 2: Convert to fraction form
    20,129.25/43,726.75 = 43,726.75/x
  3. Step 3: Cross multiply
    20,129.25x = 43,726.75 × 43,726.75
  4. Step 4: Simplify right side
    20,129.25x = 1,912,028,665.56
  5. Step 5: Solve for x
    x = 1,912,028,665.56/20,129.25
  6. Step 6: Final answer
    x = 94,987.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.