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Finding the Third Proportional to 15,086.25 and 19,842.75

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Solution

The third proportional to 15,086.25 and 19,842.75 is: 26,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.25 : 19,842.75 = 19,842.75 : x
  2. Step 2: Convert to fraction form
    15,086.25/19,842.75 = 19,842.75/x
  3. Step 3: Cross multiply
    15,086.25x = 19,842.75 × 19,842.75
  4. Step 4: Simplify right side
    15,086.25x = 393,734,727.56
  5. Step 5: Solve for x
    x = 393,734,727.56/15,086.25
  6. Step 6: Final answer
    x = 26,098.91

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.