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Finding the Third Proportional to 9,617.25 and 14,387.43

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Solution

The third proportional to 9,617.25 and 14,387.43 is: 21,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.25 : 14,387.43 = 14,387.43 : x
  2. Step 2: Convert to fraction form
    9,617.25/14,387.43 = 14,387.43/x
  3. Step 3: Cross multiply
    9,617.25x = 14,387.43 × 14,387.43
  4. Step 4: Simplify right side
    9,617.25x = 206,998,062.76
  5. Step 5: Solve for x
    x = 206,998,062.76/9,617.25
  6. Step 6: Final answer
    x = 21,523.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.