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Finding the Third Proportional to 5,138 and 9,546

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Solution

The third proportional to 5,138 and 9,546 is: 17,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 9,546 = 9,546 : x
  2. Step 2: Convert to fraction form
    5,138/9,546 = 9,546/x
  3. Step 3: Cross multiply
    5,138x = 9,546 × 9,546
  4. Step 4: Simplify right side
    5,138x = 91,126,116
  5. Step 5: Solve for x
    x = 91,126,116/5,138
  6. Step 6: Final answer
    x = 17,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.