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Finding the Third Proportional to 17,864.30 and 38,103.54

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Solution

The third proportional to 17,864.30 and 38,103.54 is: 81,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.30 : 38,103.54 = 38,103.54 : x
  2. Step 2: Convert to fraction form
    17,864.30/38,103.54 = 38,103.54/x
  3. Step 3: Cross multiply
    17,864.30x = 38,103.54 × 38,103.54
  4. Step 4: Simplify right side
    17,864.30x = 1,451,879,689.09
  5. Step 5: Solve for x
    x = 1,451,879,689.09/17,864.30
  6. Step 6: Final answer
    x = 81,272.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.