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Finding the Third Proportional to 19,855.13 and 27,828.56

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Solution

The third proportional to 19,855.13 and 27,828.56 is: 39,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.13 : 27,828.56 = 27,828.56 : x
  2. Step 2: Convert to fraction form
    19,855.13/27,828.56 = 27,828.56/x
  3. Step 3: Cross multiply
    19,855.13x = 27,828.56 × 27,828.56
  4. Step 4: Simplify right side
    19,855.13x = 774,428,890.82
  5. Step 5: Solve for x
    x = 774,428,890.82/19,855.13
  6. Step 6: Final answer
    x = 39,003.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.