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Finding the Third Proportional to 5,640 and 14,676

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Solution

The third proportional to 5,640 and 14,676 is: 38,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 14,676 = 14,676 : x
  2. Step 2: Convert to fraction form
    5,640/14,676 = 14,676/x
  3. Step 3: Cross multiply
    5,640x = 14,676 × 14,676
  4. Step 4: Simplify right side
    5,640x = 215,384,976
  5. Step 5: Solve for x
    x = 215,384,976/5,640
  6. Step 6: Final answer
    x = 38,188.83

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.