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Finding the Third Proportional to 20,760 and 31,532

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Solution

The third proportional to 20,760 and 31,532 is: 47,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 31,532 = 31,532 : x
  2. Step 2: Convert to fraction form
    20,760/31,532 = 31,532/x
  3. Step 3: Cross multiply
    20,760x = 31,532 × 31,532
  4. Step 4: Simplify right side
    20,760x = 994,267,024
  5. Step 5: Solve for x
    x = 994,267,024/20,760
  6. Step 6: Final answer
    x = 47,893.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.