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Finding the Third Proportional to 4,205.25 and 7,985.25

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Solution

The third proportional to 4,205.25 and 7,985.25 is: 15,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.25 : 7,985.25 = 7,985.25 : x
  2. Step 2: Convert to fraction form
    4,205.25/7,985.25 = 7,985.25/x
  3. Step 3: Cross multiply
    4,205.25x = 7,985.25 × 7,985.25
  4. Step 4: Simplify right side
    4,205.25x = 63,764,217.56
  5. Step 5: Solve for x
    x = 63,764,217.56/4,205.25
  6. Step 6: Final answer
    x = 15,163.00

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.