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Finding the Third Proportional to 17,837.72 and 27,679.22

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Solution

The third proportional to 17,837.72 and 27,679.22 is: 42,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.72 : 27,679.22 = 27,679.22 : x
  2. Step 2: Convert to fraction form
    17,837.72/27,679.22 = 27,679.22/x
  3. Step 3: Cross multiply
    17,837.72x = 27,679.22 × 27,679.22
  4. Step 4: Simplify right side
    17,837.72x = 766,139,150.61
  5. Step 5: Solve for x
    x = 766,139,150.61/17,837.72
  6. Step 6: Final answer
    x = 42,950.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.