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Finding the Third Proportional to 5,116 and 7,728

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Solution

The third proportional to 5,116 and 7,728 is: 11,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116 : 7,728 = 7,728 : x
  2. Step 2: Convert to fraction form
    5,116/7,728 = 7,728/x
  3. Step 3: Cross multiply
    5,116x = 7,728 × 7,728
  4. Step 4: Simplify right side
    5,116x = 59,721,984
  5. Step 5: Solve for x
    x = 59,721,984/5,116
  6. Step 6: Final answer
    x = 11,673.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.