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Finding the Third Proportional to 20,444.91 and 41,641.59

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Solution

The third proportional to 20,444.91 and 41,641.59 is: 84,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444.91 : 41,641.59 = 41,641.59 : x
  2. Step 2: Convert to fraction form
    20,444.91/41,641.59 = 41,641.59/x
  3. Step 3: Cross multiply
    20,444.91x = 41,641.59 × 41,641.59
  4. Step 4: Simplify right side
    20,444.91x = 1,734,022,330.04
  5. Step 5: Solve for x
    x = 1,734,022,330.04/20,444.91
  6. Step 6: Final answer
    x = 84,814.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.