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Finding the Third Proportional to 9,496.31 and 20,781.94

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Solution

The third proportional to 9,496.31 and 20,781.94 is: 45,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.31 : 20,781.94 = 20,781.94 : x
  2. Step 2: Convert to fraction form
    9,496.31/20,781.94 = 20,781.94/x
  3. Step 3: Cross multiply
    9,496.31x = 20,781.94 × 20,781.94
  4. Step 4: Simplify right side
    9,496.31x = 431,888,926.25
  5. Step 5: Solve for x
    x = 431,888,926.25/9,496.31
  6. Step 6: Final answer
    x = 45,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.