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Finding the Third Proportional to 18,199.69 and 24,646.78

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Solution

The third proportional to 18,199.69 and 24,646.78 is: 33,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.69 : 24,646.78 = 24,646.78 : x
  2. Step 2: Convert to fraction form
    18,199.69/24,646.78 = 24,646.78/x
  3. Step 3: Cross multiply
    18,199.69x = 24,646.78 × 24,646.78
  4. Step 4: Simplify right side
    18,199.69x = 607,463,825.99
  5. Step 5: Solve for x
    x = 607,463,825.99/18,199.69
  6. Step 6: Final answer
    x = 33,377.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.