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Finding the Third Proportional to 6,503 and 15,345

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Solution

The third proportional to 6,503 and 15,345 is: 36,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 15,345 = 15,345 : x
  2. Step 2: Convert to fraction form
    6,503/15,345 = 15,345/x
  3. Step 3: Cross multiply
    6,503x = 15,345 × 15,345
  4. Step 4: Simplify right side
    6,503x = 235,469,025
  5. Step 5: Solve for x
    x = 235,469,025/6,503
  6. Step 6: Final answer
    x = 36,209.29

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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.