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Finding the Third Proportional to 6,253.45 and 13,617.49

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Solution

The third proportional to 6,253.45 and 13,617.49 is: 29,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.45 : 13,617.49 = 13,617.49 : x
  2. Step 2: Convert to fraction form
    6,253.45/13,617.49 = 13,617.49/x
  3. Step 3: Cross multiply
    6,253.45x = 13,617.49 × 13,617.49
  4. Step 4: Simplify right side
    6,253.45x = 185,436,093.48
  5. Step 5: Solve for x
    x = 185,436,093.48/6,253.45
  6. Step 6: Final answer
    x = 29,653.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.