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Finding the Third Proportional to 9,697 and 20,113

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Solution

The third proportional to 9,697 and 20,113 is: 41,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697 : 20,113 = 20,113 : x
  2. Step 2: Convert to fraction form
    9,697/20,113 = 20,113/x
  3. Step 3: Cross multiply
    9,697x = 20,113 × 20,113
  4. Step 4: Simplify right side
    9,697x = 404,532,769
  5. Step 5: Solve for x
    x = 404,532,769/9,697
  6. Step 6: Final answer
    x = 41,717.31

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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.