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Finding the Third Proportional to 5,395 and 11,657

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Solution

The third proportional to 5,395 and 11,657 is: 25,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395 : 11,657 = 11,657 : x
  2. Step 2: Convert to fraction form
    5,395/11,657 = 11,657/x
  3. Step 3: Cross multiply
    5,395x = 11,657 × 11,657
  4. Step 4: Simplify right side
    5,395x = 135,885,649
  5. Step 5: Solve for x
    x = 135,885,649/5,395
  6. Step 6: Final answer
    x = 25,187.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.