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Finding the Third Proportional to 5,664 and 13,376

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Solution

The third proportional to 5,664 and 13,376 is: 31,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664 : 13,376 = 13,376 : x
  2. Step 2: Convert to fraction form
    5,664/13,376 = 13,376/x
  3. Step 3: Cross multiply
    5,664x = 13,376 × 13,376
  4. Step 4: Simplify right side
    5,664x = 178,917,376
  5. Step 5: Solve for x
    x = 178,917,376/5,664
  6. Step 6: Final answer
    x = 31,588.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.