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Finding the Third Proportional to 18,658.69 and 39,423.38

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Solution

The third proportional to 18,658.69 and 39,423.38 is: 83,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.69 : 39,423.38 = 39,423.38 : x
  2. Step 2: Convert to fraction form
    18,658.69/39,423.38 = 39,423.38/x
  3. Step 3: Cross multiply
    18,658.69x = 39,423.38 × 39,423.38
  4. Step 4: Simplify right side
    18,658.69x = 1,554,202,496.39
  5. Step 5: Solve for x
    x = 1,554,202,496.39/18,658.69
  6. Step 6: Final answer
    x = 83,296.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.