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Finding the Third Proportional to 10,423.69 and 21,711.38

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Solution

The third proportional to 10,423.69 and 21,711.38 is: 45,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.69 : 21,711.38 = 21,711.38 : x
  2. Step 2: Convert to fraction form
    10,423.69/21,711.38 = 21,711.38/x
  3. Step 3: Cross multiply
    10,423.69x = 21,711.38 × 21,711.38
  4. Step 4: Simplify right side
    10,423.69x = 471,383,804.39
  5. Step 5: Solve for x
    x = 471,383,804.39/10,423.69
  6. Step 6: Final answer
    x = 45,222.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.