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Finding the Third Proportional to 5,832 and 8,946

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Solution

The third proportional to 5,832 and 8,946 is: 13,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 8,946 = 8,946 : x
  2. Step 2: Convert to fraction form
    5,832/8,946 = 8,946/x
  3. Step 3: Cross multiply
    5,832x = 8,946 × 8,946
  4. Step 4: Simplify right side
    5,832x = 80,030,916
  5. Step 5: Solve for x
    x = 80,030,916/5,832
  6. Step 6: Final answer
    x = 13,722.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.