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Finding the Third Proportional to 9,729 and 20,753.25

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Solution

The third proportional to 9,729 and 20,753.25 is: 44,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 20,753.25 = 20,753.25 : x
  2. Step 2: Convert to fraction form
    9,729/20,753.25 = 20,753.25/x
  3. Step 3: Cross multiply
    9,729x = 20,753.25 × 20,753.25
  4. Step 4: Simplify right side
    9,729x = 430,697,385.56
  5. Step 5: Solve for x
    x = 430,697,385.56/9,729
  6. Step 6: Final answer
    x = 44,269.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.