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Finding the Third Proportional to 20,001.94 and 40,322.81

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Solution

The third proportional to 20,001.94 and 40,322.81 is: 81,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.94 : 40,322.81 = 40,322.81 : x
  2. Step 2: Convert to fraction form
    20,001.94/40,322.81 = 40,322.81/x
  3. Step 3: Cross multiply
    20,001.94x = 40,322.81 × 40,322.81
  4. Step 4: Simplify right side
    20,001.94x = 1,625,929,207.91
  5. Step 5: Solve for x
    x = 1,625,929,207.91/20,001.94
  6. Step 6: Final answer
    x = 81,288.59

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.