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Finding the Third Proportional to 6,538 and 15,436

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Solution

The third proportional to 6,538 and 15,436 is: 36,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 15,436 = 15,436 : x
  2. Step 2: Convert to fraction form
    6,538/15,436 = 15,436/x
  3. Step 3: Cross multiply
    6,538x = 15,436 × 15,436
  4. Step 4: Simplify right side
    6,538x = 238,270,096
  5. Step 5: Solve for x
    x = 238,270,096/6,538
  6. Step 6: Final answer
    x = 36,443.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.