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Finding the Third Proportional to 19,171.69 and 40,105.13

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Solution

The third proportional to 19,171.69 and 40,105.13 is: 83,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,171.69 : 40,105.13 = 40,105.13 : x
  2. Step 2: Convert to fraction form
    19,171.69/40,105.13 = 40,105.13/x
  3. Step 3: Cross multiply
    19,171.69x = 40,105.13 × 40,105.13
  4. Step 4: Simplify right side
    19,171.69x = 1,608,421,051.27
  5. Step 5: Solve for x
    x = 1,608,421,051.27/19,171.69
  6. Step 6: Final answer
    x = 83,895.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.