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Finding the Third Proportional to 5,824 and 12,680

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Solution

The third proportional to 5,824 and 12,680 is: 27,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 12,680 = 12,680 : x
  2. Step 2: Convert to fraction form
    5,824/12,680 = 12,680/x
  3. Step 3: Cross multiply
    5,824x = 12,680 × 12,680
  4. Step 4: Simplify right side
    5,824x = 160,782,400
  5. Step 5: Solve for x
    x = 160,782,400/5,824
  6. Step 6: Final answer
    x = 27,606.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.