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Finding the Third Proportional to 9,596 and 13,394

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Solution

The third proportional to 9,596 and 13,394 is: 18,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 13,394 = 13,394 : x
  2. Step 2: Convert to fraction form
    9,596/13,394 = 13,394/x
  3. Step 3: Cross multiply
    9,596x = 13,394 × 13,394
  4. Step 4: Simplify right side
    9,596x = 179,399,236
  5. Step 5: Solve for x
    x = 179,399,236/9,596
  6. Step 6: Final answer
    x = 18,695.21

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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.