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Finding the Third Proportional to 3,322.50 and 7,838.25

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Solution

The third proportional to 3,322.50 and 7,838.25 is: 18,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.50 : 7,838.25 = 7,838.25 : x
  2. Step 2: Convert to fraction form
    3,322.50/7,838.25 = 7,838.25/x
  3. Step 3: Cross multiply
    3,322.50x = 7,838.25 × 7,838.25
  4. Step 4: Simplify right side
    3,322.50x = 61,438,163.06
  5. Step 5: Solve for x
    x = 61,438,163.06/3,322.50
  6. Step 6: Final answer
    x = 18,491.55

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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.