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Finding the Third Proportional to 9,592.97 and 19,661.44

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Solution

The third proportional to 9,592.97 and 19,661.44 is: 40,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.97 : 19,661.44 = 19,661.44 : x
  2. Step 2: Convert to fraction form
    9,592.97/19,661.44 = 19,661.44/x
  3. Step 3: Cross multiply
    9,592.97x = 19,661.44 × 19,661.44
  4. Step 4: Simplify right side
    9,592.97x = 386,572,124.57
  5. Step 5: Solve for x
    x = 386,572,124.57/9,592.97
  6. Step 6: Final answer
    x = 40,297.44

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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.