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Finding the Third Proportional to 3,297.50 and 7,322.50

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Solution

The third proportional to 3,297.50 and 7,322.50 is: 16,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.50 : 7,322.50 = 7,322.50 : x
  2. Step 2: Convert to fraction form
    3,297.50/7,322.50 = 7,322.50/x
  3. Step 3: Cross multiply
    3,297.50x = 7,322.50 × 7,322.50
  4. Step 4: Simplify right side
    3,297.50x = 53,619,006.25
  5. Step 5: Solve for x
    x = 53,619,006.25/3,297.50
  6. Step 6: Final answer
    x = 16,260.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.