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Finding the Third Proportional to 6,706.50 and 13,503

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Solution

The third proportional to 6,706.50 and 13,503 is: 27,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.50 : 13,503 = 13,503 : x
  2. Step 2: Convert to fraction form
    6,706.50/13,503 = 13,503/x
  3. Step 3: Cross multiply
    6,706.50x = 13,503 × 13,503
  4. Step 4: Simplify right side
    6,706.50x = 182,331,009
  5. Step 5: Solve for x
    x = 182,331,009/6,706.50
  6. Step 6: Final answer
    x = 27,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.