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Finding the Third Proportional to 19,867.78 and 41,353.03

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Solution

The third proportional to 19,867.78 and 41,353.03 is: 86,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867.78 : 41,353.03 = 41,353.03 : x
  2. Step 2: Convert to fraction form
    19,867.78/41,353.03 = 41,353.03/x
  3. Step 3: Cross multiply
    19,867.78x = 41,353.03 × 41,353.03
  4. Step 4: Simplify right side
    19,867.78x = 1,710,073,193.56
  5. Step 5: Solve for x
    x = 1,710,073,193.56/19,867.78
  6. Step 6: Final answer
    x = 86,072.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.