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Finding the Third Proportional to 3,496.50 and 7,168.50

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Solution

The third proportional to 3,496.50 and 7,168.50 is: 14,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.50 : 7,168.50 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    3,496.50/7,168.50 = 7,168.50/x
  3. Step 3: Cross multiply
    3,496.50x = 7,168.50 × 7,168.50
  4. Step 4: Simplify right side
    3,496.50x = 51,387,392.25
  5. Step 5: Solve for x
    x = 51,387,392.25/3,496.50
  6. Step 6: Final answer
    x = 14,696.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.