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Finding the Third Proportional to 24,193.69 and 29,418.19

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Solution

The third proportional to 24,193.69 and 29,418.19 is: 35,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.69 : 29,418.19 = 29,418.19 : x
  2. Step 2: Convert to fraction form
    24,193.69/29,418.19 = 29,418.19/x
  3. Step 3: Cross multiply
    24,193.69x = 29,418.19 × 29,418.19
  4. Step 4: Simplify right side
    24,193.69x = 865,429,755.79
  5. Step 5: Solve for x
    x = 865,429,755.79/24,193.69
  6. Step 6: Final answer
    x = 35,770.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.