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Finding the Third Proportional to 5,872 and 6,736

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Solution

The third proportional to 5,872 and 6,736 is: 7,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 6,736 = 6,736 : x
  2. Step 2: Convert to fraction form
    5,872/6,736 = 6,736/x
  3. Step 3: Cross multiply
    5,872x = 6,736 × 6,736
  4. Step 4: Simplify right side
    5,872x = 45,373,696
  5. Step 5: Solve for x
    x = 45,373,696/5,872
  6. Step 6: Final answer
    x = 7,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.