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Finding the Third Proportional to 17,906.06 and 40,429.13

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Solution

The third proportional to 17,906.06 and 40,429.13 is: 91,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.06 : 40,429.13 = 40,429.13 : x
  2. Step 2: Convert to fraction form
    17,906.06/40,429.13 = 40,429.13/x
  3. Step 3: Cross multiply
    17,906.06x = 40,429.13 × 40,429.13
  4. Step 4: Simplify right side
    17,906.06x = 1,634,514,148.27
  5. Step 5: Solve for x
    x = 1,634,514,148.27/17,906.06
  6. Step 6: Final answer
    x = 91,282.72

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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.