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Finding the Third Proportional to 8,823.94 and 19,423.97

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Solution

The third proportional to 8,823.94 and 19,423.97 is: 42,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.94 : 19,423.97 = 19,423.97 : x
  2. Step 2: Convert to fraction form
    8,823.94/19,423.97 = 19,423.97/x
  3. Step 3: Cross multiply
    8,823.94x = 19,423.97 × 19,423.97
  4. Step 4: Simplify right side
    8,823.94x = 377,290,562.00
  5. Step 5: Solve for x
    x = 377,290,562.00/8,823.94
  6. Step 6: Final answer
    x = 42,757.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.