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Finding the Third Proportional to 20,125 and 43,787

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Solution

The third proportional to 20,125 and 43,787 is: 95,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125 : 43,787 = 43,787 : x
  2. Step 2: Convert to fraction form
    20,125/43,787 = 43,787/x
  3. Step 3: Cross multiply
    20,125x = 43,787 × 43,787
  4. Step 4: Simplify right side
    20,125x = 1,917,301,369
  5. Step 5: Solve for x
    x = 1,917,301,369/20,125
  6. Step 6: Final answer
    x = 95,269.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.