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Finding the Third Proportional to 6,604 and 13,436

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Solution

The third proportional to 6,604 and 13,436 is: 27,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604 : 13,436 = 13,436 : x
  2. Step 2: Convert to fraction form
    6,604/13,436 = 13,436/x
  3. Step 3: Cross multiply
    6,604x = 13,436 × 13,436
  4. Step 4: Simplify right side
    6,604x = 180,526,096
  5. Step 5: Solve for x
    x = 180,526,096/6,604
  6. Step 6: Final answer
    x = 27,335.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.