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Finding the Third Proportional to 5,116 and 5,884

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Solution

The third proportional to 5,116 and 5,884 is: 6,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116 : 5,884 = 5,884 : x
  2. Step 2: Convert to fraction form
    5,116/5,884 = 5,884/x
  3. Step 3: Cross multiply
    5,116x = 5,884 × 5,884
  4. Step 4: Simplify right side
    5,116x = 34,621,456
  5. Step 5: Solve for x
    x = 34,621,456/5,116
  6. Step 6: Final answer
    x = 6,767.29

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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.