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Finding the Third Proportional to 19,178.13 and 41,021.69

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Solution

The third proportional to 19,178.13 and 41,021.69 is: 87,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178.13 : 41,021.69 = 41,021.69 : x
  2. Step 2: Convert to fraction form
    19,178.13/41,021.69 = 41,021.69/x
  3. Step 3: Cross multiply
    19,178.13x = 41,021.69 × 41,021.69
  4. Step 4: Simplify right side
    19,178.13x = 1,682,778,845.35
  5. Step 5: Solve for x
    x = 1,682,778,845.35/19,178.13
  6. Step 6: Final answer
    x = 87,744.70

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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.