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Finding the Third Proportional to 17,713.69 and 24,464.53

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Solution

The third proportional to 17,713.69 and 24,464.53 is: 33,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.69 : 24,464.53 = 24,464.53 : x
  2. Step 2: Convert to fraction form
    17,713.69/24,464.53 = 24,464.53/x
  3. Step 3: Cross multiply
    17,713.69x = 24,464.53 × 24,464.53
  4. Step 4: Simplify right side
    17,713.69x = 598,513,289.28
  5. Step 5: Solve for x
    x = 598,513,289.28/17,713.69
  6. Step 6: Final answer
    x = 33,788.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.