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Finding the Third Proportional to 3,116 and 6,583

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Solution

The third proportional to 3,116 and 6,583 is: 13,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116 : 6,583 = 6,583 : x
  2. Step 2: Convert to fraction form
    3,116/6,583 = 6,583/x
  3. Step 3: Cross multiply
    3,116x = 6,583 × 6,583
  4. Step 4: Simplify right side
    3,116x = 43,335,889
  5. Step 5: Solve for x
    x = 43,335,889/3,116
  6. Step 6: Final answer
    x = 13,907.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.