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Finding the Third Proportional to 20,127 and 43,714

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Solution

The third proportional to 20,127 and 43,714 is: 94,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127 : 43,714 = 43,714 : x
  2. Step 2: Convert to fraction form
    20,127/43,714 = 43,714/x
  3. Step 3: Cross multiply
    20,127x = 43,714 × 43,714
  4. Step 4: Simplify right side
    20,127x = 1,910,913,796
  5. Step 5: Solve for x
    x = 1,910,913,796/20,127
  6. Step 6: Final answer
    x = 94,942.80

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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.