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Finding the Third Proportional to 19,119.09 and 41,005.22

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Solution

The third proportional to 19,119.09 and 41,005.22 is: 87,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119.09 : 41,005.22 = 41,005.22 : x
  2. Step 2: Convert to fraction form
    19,119.09/41,005.22 = 41,005.22/x
  3. Step 3: Cross multiply
    19,119.09x = 41,005.22 × 41,005.22
  4. Step 4: Simplify right side
    19,119.09x = 1,681,427,964.74
  5. Step 5: Solve for x
    x = 1,681,427,964.74/19,119.09
  6. Step 6: Final answer
    x = 87,944.96

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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.