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Finding the Third Proportional to 5,728 and 7,736

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Solution

The third proportional to 5,728 and 7,736 is: 10,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728 : 7,736 = 7,736 : x
  2. Step 2: Convert to fraction form
    5,728/7,736 = 7,736/x
  3. Step 3: Cross multiply
    5,728x = 7,736 × 7,736
  4. Step 4: Simplify right side
    5,728x = 59,845,696
  5. Step 5: Solve for x
    x = 59,845,696/5,728
  6. Step 6: Final answer
    x = 10,447.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.