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Finding the Third Proportional to 5,684 and 11,763

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Solution

The third proportional to 5,684 and 11,763 is: 24,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 11,763 = 11,763 : x
  2. Step 2: Convert to fraction form
    5,684/11,763 = 11,763/x
  3. Step 3: Cross multiply
    5,684x = 11,763 × 11,763
  4. Step 4: Simplify right side
    5,684x = 138,368,169
  5. Step 5: Solve for x
    x = 138,368,169/5,684
  6. Step 6: Final answer
    x = 24,343.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.