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Finding the Third Proportional to 19,221.75 and 41,178.38

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Solution

The third proportional to 19,221.75 and 41,178.38 is: 88,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.75 : 41,178.38 = 41,178.38 : x
  2. Step 2: Convert to fraction form
    19,221.75/41,178.38 = 41,178.38/x
  3. Step 3: Cross multiply
    19,221.75x = 41,178.38 × 41,178.38
  4. Step 4: Simplify right side
    19,221.75x = 1,695,658,567.64
  5. Step 5: Solve for x
    x = 1,695,658,567.64/19,221.75
  6. Step 6: Final answer
    x = 88,215.62

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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.