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Finding the Third Proportional to 9,396 and 13,217

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Solution

The third proportional to 9,396 and 13,217 is: 18,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 13,217 = 13,217 : x
  2. Step 2: Convert to fraction form
    9,396/13,217 = 13,217/x
  3. Step 3: Cross multiply
    9,396x = 13,217 × 13,217
  4. Step 4: Simplify right side
    9,396x = 174,689,089
  5. Step 5: Solve for x
    x = 174,689,089/9,396
  6. Step 6: Final answer
    x = 18,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.