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Finding the Third Proportional to 5,664 and 11,616

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Solution

The third proportional to 5,664 and 11,616 is: 23,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664 : 11,616 = 11,616 : x
  2. Step 2: Convert to fraction form
    5,664/11,616 = 11,616/x
  3. Step 3: Cross multiply
    5,664x = 11,616 × 11,616
  4. Step 4: Simplify right side
    5,664x = 134,931,456
  5. Step 5: Solve for x
    x = 134,931,456/5,664
  6. Step 6: Final answer
    x = 23,822.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.