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Finding the Third Proportional to 17,308.69 and 24,834.09

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Solution

The third proportional to 17,308.69 and 24,834.09 is: 35,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,308.69 : 24,834.09 = 24,834.09 : x
  2. Step 2: Convert to fraction form
    17,308.69/24,834.09 = 24,834.09/x
  3. Step 3: Cross multiply
    17,308.69x = 24,834.09 × 24,834.09
  4. Step 4: Simplify right side
    17,308.69x = 616,732,212.38
  5. Step 5: Solve for x
    x = 616,732,212.38/17,308.69
  6. Step 6: Final answer
    x = 35,631.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.