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Finding the Third Proportional to 4,611 and 6,916

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Solution

The third proportional to 4,611 and 6,916 is: 10,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611 : 6,916 = 6,916 : x
  2. Step 2: Convert to fraction form
    4,611/6,916 = 6,916/x
  3. Step 3: Cross multiply
    4,611x = 6,916 × 6,916
  4. Step 4: Simplify right side
    4,611x = 47,831,056
  5. Step 5: Solve for x
    x = 47,831,056/4,611
  6. Step 6: Final answer
    x = 10,373.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.