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Finding the Third Proportional to 7,631 and 11,810

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Solution

The third proportional to 7,631 and 11,810 is: 18,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631 : 11,810 = 11,810 : x
  2. Step 2: Convert to fraction form
    7,631/11,810 = 11,810/x
  3. Step 3: Cross multiply
    7,631x = 11,810 × 11,810
  4. Step 4: Simplify right side
    7,631x = 139,476,100
  5. Step 5: Solve for x
    x = 139,476,100/7,631
  6. Step 6: Final answer
    x = 18,277.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.