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Finding the Third Proportional to 6,496 and 15,329

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Solution

The third proportional to 6,496 and 15,329 is: 36,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 15,329 = 15,329 : x
  2. Step 2: Convert to fraction form
    6,496/15,329 = 15,329/x
  3. Step 3: Cross multiply
    6,496x = 15,329 × 15,329
  4. Step 4: Simplify right side
    6,496x = 234,978,241
  5. Step 5: Solve for x
    x = 234,978,241/6,496
  6. Step 6: Final answer
    x = 36,172.76

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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.