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Finding the Third Proportional to 19,120.41 and 41,008.69

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Solution

The third proportional to 19,120.41 and 41,008.69 is: 87,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.41 : 41,008.69 = 41,008.69 : x
  2. Step 2: Convert to fraction form
    19,120.41/41,008.69 = 41,008.69/x
  3. Step 3: Cross multiply
    19,120.41x = 41,008.69 × 41,008.69
  4. Step 4: Simplify right side
    19,120.41x = 1,681,712,450.47
  5. Step 5: Solve for x
    x = 1,681,712,450.47/19,120.41
  6. Step 6: Final answer
    x = 87,953.80

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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.