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Finding the Third Proportional to 7,605.25 and 11,376.75

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Solution

The third proportional to 7,605.25 and 11,376.75 is: 17,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.25 : 11,376.75 = 11,376.75 : x
  2. Step 2: Convert to fraction form
    7,605.25/11,376.75 = 11,376.75/x
  3. Step 3: Cross multiply
    7,605.25x = 11,376.75 × 11,376.75
  4. Step 4: Simplify right side
    7,605.25x = 129,430,440.56
  5. Step 5: Solve for x
    x = 129,430,440.56/7,605.25
  6. Step 6: Final answer
    x = 17,018.56

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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.