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Finding the Third Proportional to 9,406.97 and 20,282.91

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Solution

The third proportional to 9,406.97 and 20,282.91 is: 43,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.97 : 20,282.91 = 20,282.91 : x
  2. Step 2: Convert to fraction form
    9,406.97/20,282.91 = 20,282.91/x
  3. Step 3: Cross multiply
    9,406.97x = 20,282.91 × 20,282.91
  4. Step 4: Simplify right side
    9,406.97x = 411,396,285.95
  5. Step 5: Solve for x
    x = 411,396,285.95/9,406.97
  6. Step 6: Final answer
    x = 43,733.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.