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Finding the Third Proportional to 17,837.72 and 38,853.42

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Solution

The third proportional to 17,837.72 and 38,853.42 is: 84,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.72 : 38,853.42 = 38,853.42 : x
  2. Step 2: Convert to fraction form
    17,837.72/38,853.42 = 38,853.42/x
  3. Step 3: Cross multiply
    17,837.72x = 38,853.42 × 38,853.42
  4. Step 4: Simplify right side
    17,837.72x = 1,509,588,391.40
  5. Step 5: Solve for x
    x = 1,509,588,391.40/17,837.72
  6. Step 6: Final answer
    x = 84,629.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.