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Finding the Third Proportional to 20,072.81 and 43,721.44

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Solution

The third proportional to 20,072.81 and 43,721.44 is: 95,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.81 : 43,721.44 = 43,721.44 : x
  2. Step 2: Convert to fraction form
    20,072.81/43,721.44 = 43,721.44/x
  3. Step 3: Cross multiply
    20,072.81x = 43,721.44 × 43,721.44
  4. Step 4: Simplify right side
    20,072.81x = 1,911,564,097.07
  5. Step 5: Solve for x
    x = 1,911,564,097.07/20,072.81
  6. Step 6: Final answer
    x = 95,231.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.