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Finding the Third Proportional to 19,120.38 and 41,008.56

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Solution

The third proportional to 19,120.38 and 41,008.56 is: 87,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.38 : 41,008.56 = 41,008.56 : x
  2. Step 2: Convert to fraction form
    19,120.38/41,008.56 = 41,008.56/x
  3. Step 3: Cross multiply
    19,120.38x = 41,008.56 × 41,008.56
  4. Step 4: Simplify right side
    19,120.38x = 1,681,702,198.32
  5. Step 5: Solve for x
    x = 1,681,702,198.32/19,120.38
  6. Step 6: Final answer
    x = 87,953.41

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Why These Related Problems?

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