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Finding the Third Proportional to 20,296 and 30,352

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Solution

The third proportional to 20,296 and 30,352 is: 45,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296 : 30,352 = 30,352 : x
  2. Step 2: Convert to fraction form
    20,296/30,352 = 30,352/x
  3. Step 3: Cross multiply
    20,296x = 30,352 × 30,352
  4. Step 4: Simplify right side
    20,296x = 921,243,904
  5. Step 5: Solve for x
    x = 921,243,904/20,296
  6. Step 6: Final answer
    x = 45,390.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.