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Finding the Third Proportional to 5,660 and 13,346

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Solution

The third proportional to 5,660 and 13,346 is: 31,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660 : 13,346 = 13,346 : x
  2. Step 2: Convert to fraction form
    5,660/13,346 = 13,346/x
  3. Step 3: Cross multiply
    5,660x = 13,346 × 13,346
  4. Step 4: Simplify right side
    5,660x = 178,115,716
  5. Step 5: Solve for x
    x = 178,115,716/5,660
  6. Step 6: Final answer
    x = 31,469.21

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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.