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Finding the Third Proportional to 20,106.14 and 43,714.27

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Solution

The third proportional to 20,106.14 and 43,714.27 is: 95,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.14 : 43,714.27 = 43,714.27 : x
  2. Step 2: Convert to fraction form
    20,106.14/43,714.27 = 43,714.27/x
  3. Step 3: Cross multiply
    20,106.14x = 43,714.27 × 43,714.27
  4. Step 4: Simplify right side
    20,106.14x = 1,910,937,019.13
  5. Step 5: Solve for x
    x = 1,910,937,019.13/20,106.14
  6. Step 6: Final answer
    x = 95,042.46

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