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Finding the Third Proportional to 17,754.19 and 39,009.09

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Solution

The third proportional to 17,754.19 and 39,009.09 is: 85,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.19 : 39,009.09 = 39,009.09 : x
  2. Step 2: Convert to fraction form
    17,754.19/39,009.09 = 39,009.09/x
  3. Step 3: Cross multiply
    17,754.19x = 39,009.09 × 39,009.09
  4. Step 4: Simplify right side
    17,754.19x = 1,521,709,395.20
  5. Step 5: Solve for x
    x = 1,521,709,395.20/17,754.19
  6. Step 6: Final answer
    x = 85,709.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.