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Finding the Third Proportional to 9,584 and 13,400

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Solution

The third proportional to 9,584 and 13,400 is: 18,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 13,400 = 13,400 : x
  2. Step 2: Convert to fraction form
    9,584/13,400 = 13,400/x
  3. Step 3: Cross multiply
    9,584x = 13,400 × 13,400
  4. Step 4: Simplify right side
    9,584x = 179,560,000
  5. Step 5: Solve for x
    x = 179,560,000/9,584
  6. Step 6: Final answer
    x = 18,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.