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Finding the Third Proportional to 20,032 and 43,573

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Solution

The third proportional to 20,032 and 43,573 is: 94,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 43,573 = 43,573 : x
  2. Step 2: Convert to fraction form
    20,032/43,573 = 43,573/x
  3. Step 3: Cross multiply
    20,032x = 43,573 × 43,573
  4. Step 4: Simplify right side
    20,032x = 1,898,606,329
  5. Step 5: Solve for x
    x = 1,898,606,329/20,032
  6. Step 6: Final answer
    x = 94,778.67

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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.