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Finding the Third Proportional to 20,007.84 and 41,853.09

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Solution

The third proportional to 20,007.84 and 41,853.09 is: 87,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.84 : 41,853.09 = 41,853.09 : x
  2. Step 2: Convert to fraction form
    20,007.84/41,853.09 = 41,853.09/x
  3. Step 3: Cross multiply
    20,007.84x = 41,853.09 × 41,853.09
  4. Step 4: Simplify right side
    20,007.84x = 1,751,681,456.45
  5. Step 5: Solve for x
    x = 1,751,681,456.45/20,007.84
  6. Step 6: Final answer
    x = 87,549.74

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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.