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Finding the Third Proportional to 7,109 and 15,631

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Solution

The third proportional to 7,109 and 15,631 is: 34,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109 : 15,631 = 15,631 : x
  2. Step 2: Convert to fraction form
    7,109/15,631 = 15,631/x
  3. Step 3: Cross multiply
    7,109x = 15,631 × 15,631
  4. Step 4: Simplify right side
    7,109x = 244,328,161
  5. Step 5: Solve for x
    x = 244,328,161/7,109
  6. Step 6: Final answer
    x = 34,368.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.