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Finding the Third Proportional to 19,369.13 and 43,714.69

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Solution

The third proportional to 19,369.13 and 43,714.69 is: 98,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,369.13 : 43,714.69 = 43,714.69 : x
  2. Step 2: Convert to fraction form
    19,369.13/43,714.69 = 43,714.69/x
  3. Step 3: Cross multiply
    19,369.13x = 43,714.69 × 43,714.69
  4. Step 4: Simplify right side
    19,369.13x = 1,910,973,903.22
  5. Step 5: Solve for x
    x = 1,910,973,903.22/19,369.13
  6. Step 6: Final answer
    x = 98,660.83

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.