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Finding the Third Proportional to 20,141 and 27,657

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Solution

The third proportional to 20,141 and 27,657 is: 37,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141 : 27,657 = 27,657 : x
  2. Step 2: Convert to fraction form
    20,141/27,657 = 27,657/x
  3. Step 3: Cross multiply
    20,141x = 27,657 × 27,657
  4. Step 4: Simplify right side
    20,141x = 764,909,649
  5. Step 5: Solve for x
    x = 764,909,649/20,141
  6. Step 6: Final answer
    x = 37,977.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.