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Finding the Third Proportional to 19,105.59 and 41,490.84

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Solution

The third proportional to 19,105.59 and 41,490.84 is: 90,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.59 : 41,490.84 = 41,490.84 : x
  2. Step 2: Convert to fraction form
    19,105.59/41,490.84 = 41,490.84/x
  3. Step 3: Cross multiply
    19,105.59x = 41,490.84 × 41,490.84
  4. Step 4: Simplify right side
    19,105.59x = 1,721,490,115.09
  5. Step 5: Solve for x
    x = 1,721,490,115.09/19,105.59
  6. Step 6: Final answer
    x = 90,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.