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Finding the Third Proportional to 9,965 and 20,389

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Solution

The third proportional to 9,965 and 20,389 is: 41,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 20,389 = 20,389 : x
  2. Step 2: Convert to fraction form
    9,965/20,389 = 20,389/x
  3. Step 3: Cross multiply
    9,965x = 20,389 × 20,389
  4. Step 4: Simplify right side
    9,965x = 415,711,321
  5. Step 5: Solve for x
    x = 415,711,321/9,965
  6. Step 6: Final answer
    x = 41,717.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.