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Finding the Third Proportional to 15,827.25 and 17,892.75

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Solution

The third proportional to 15,827.25 and 17,892.75 is: 20,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.25 : 17,892.75 = 17,892.75 : x
  2. Step 2: Convert to fraction form
    15,827.25/17,892.75 = 17,892.75/x
  3. Step 3: Cross multiply
    15,827.25x = 17,892.75 × 17,892.75
  4. Step 4: Simplify right side
    15,827.25x = 320,150,502.56
  5. Step 5: Solve for x
    x = 320,150,502.56/15,827.25
  6. Step 6: Final answer
    x = 20,227.80

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.