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Finding the Third Proportional to 10,512 and 20,592

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Solution

The third proportional to 10,512 and 20,592 is: 40,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 20,592 = 20,592 : x
  2. Step 2: Convert to fraction form
    10,512/20,592 = 20,592/x
  3. Step 3: Cross multiply
    10,512x = 20,592 × 20,592
  4. Step 4: Simplify right side
    10,512x = 424,030,464
  5. Step 5: Solve for x
    x = 424,030,464/10,512
  6. Step 6: Final answer
    x = 40,337.75

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.