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Finding the Third Proportional to 9,720 and 20,132

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Solution

The third proportional to 9,720 and 20,132 is: 41,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 20,132 = 20,132 : x
  2. Step 2: Convert to fraction form
    9,720/20,132 = 20,132/x
  3. Step 3: Cross multiply
    9,720x = 20,132 × 20,132
  4. Step 4: Simplify right side
    9,720x = 405,297,424
  5. Step 5: Solve for x
    x = 405,297,424/9,720
  6. Step 6: Final answer
    x = 41,697.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.