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Finding the Third Proportional to 19,411.88 and 41,592.09

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Solution

The third proportional to 19,411.88 and 41,592.09 is: 89,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411.88 : 41,592.09 = 41,592.09 : x
  2. Step 2: Convert to fraction form
    19,411.88/41,592.09 = 41,592.09/x
  3. Step 3: Cross multiply
    19,411.88x = 41,592.09 × 41,592.09
  4. Step 4: Simplify right side
    19,411.88x = 1,729,902,262.51
  5. Step 5: Solve for x
    x = 1,729,902,262.51/19,411.88
  6. Step 6: Final answer
    x = 89,115.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.