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Finding the Third Proportional to 8,836.59 and 19,234.97

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Solution

The third proportional to 8,836.59 and 19,234.97 is: 41,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.59 : 19,234.97 = 19,234.97 : x
  2. Step 2: Convert to fraction form
    8,836.59/19,234.97 = 19,234.97/x
  3. Step 3: Cross multiply
    8,836.59x = 19,234.97 × 19,234.97
  4. Step 4: Simplify right side
    8,836.59x = 369,984,022.81
  5. Step 5: Solve for x
    x = 369,984,022.81/8,836.59
  6. Step 6: Final answer
    x = 41,869.53

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Why These Related Problems?

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