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Finding the Third Proportional to 20,725 and 44,725

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Solution

The third proportional to 20,725 and 44,725 is: 96,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725 : 44,725 = 44,725 : x
  2. Step 2: Convert to fraction form
    20,725/44,725 = 44,725/x
  3. Step 3: Cross multiply
    20,725x = 44,725 × 44,725
  4. Step 4: Simplify right side
    20,725x = 2,000,325,625
  5. Step 5: Solve for x
    x = 2,000,325,625/20,725
  6. Step 6: Final answer
    x = 96,517.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.