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Finding the Third Proportional to 7,647.75 and 10,911.38

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Solution

The third proportional to 7,647.75 and 10,911.38 is: 15,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 10,911.38 = 10,911.38 : x
  2. Step 2: Convert to fraction form
    7,647.75/10,911.38 = 10,911.38/x
  3. Step 3: Cross multiply
    7,647.75x = 10,911.38 × 10,911.38
  4. Step 4: Simplify right side
    7,647.75x = 119,058,104.39
  5. Step 5: Solve for x
    x = 119,058,104.39/7,647.75
  6. Step 6: Final answer
    x = 15,567.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.