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Finding the Third Proportional to 9,833.91 and 21,418.17

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Solution

The third proportional to 9,833.91 and 21,418.17 is: 46,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.91 : 21,418.17 = 21,418.17 : x
  2. Step 2: Convert to fraction form
    9,833.91/21,418.17 = 21,418.17/x
  3. Step 3: Cross multiply
    9,833.91x = 21,418.17 × 21,418.17
  4. Step 4: Simplify right side
    9,833.91x = 458,738,086.47
  5. Step 5: Solve for x
    x = 458,738,086.47/9,833.91
  6. Step 6: Final answer
    x = 46,648.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.