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Finding the Third Proportional to 17,837.72 and 27,428.63

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Solution

The third proportional to 17,837.72 and 27,428.63 is: 42,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.72 : 27,428.63 = 27,428.63 : x
  2. Step 2: Convert to fraction form
    17,837.72/27,428.63 = 27,428.63/x
  3. Step 3: Cross multiply
    17,837.72x = 27,428.63 × 27,428.63
  4. Step 4: Simplify right side
    17,837.72x = 752,329,469.39
  5. Step 5: Solve for x
    x = 752,329,469.39/17,837.72
  6. Step 6: Final answer
    x = 42,176.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.