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Finding the Third Proportional to 9,717.47 and 20,118.38

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Solution

The third proportional to 9,717.47 and 20,118.38 is: 41,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.47 : 20,118.38 = 20,118.38 : x
  2. Step 2: Convert to fraction form
    9,717.47/20,118.38 = 20,118.38/x
  3. Step 3: Cross multiply
    9,717.47x = 20,118.38 × 20,118.38
  4. Step 4: Simplify right side
    9,717.47x = 404,749,012.64
  5. Step 5: Solve for x
    x = 404,749,012.64/9,717.47
  6. Step 6: Final answer
    x = 41,651.69

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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.