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Finding the Third Proportional to 2,516 and 5,683

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Solution

The third proportional to 2,516 and 5,683 is: 12,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516 : 5,683 = 5,683 : x
  2. Step 2: Convert to fraction form
    2,516/5,683 = 5,683/x
  3. Step 3: Cross multiply
    2,516x = 5,683 × 5,683
  4. Step 4: Simplify right side
    2,516x = 32,296,489
  5. Step 5: Solve for x
    x = 32,296,489/2,516
  6. Step 6: Final answer
    x = 12,836.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.