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Finding the Third Proportional to 3,217.25 and 7,050.25

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Solution

The third proportional to 3,217.25 and 7,050.25 is: 15,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.25 : 7,050.25 = 7,050.25 : x
  2. Step 2: Convert to fraction form
    3,217.25/7,050.25 = 7,050.25/x
  3. Step 3: Cross multiply
    3,217.25x = 7,050.25 × 7,050.25
  4. Step 4: Simplify right side
    3,217.25x = 49,706,025.06
  5. Step 5: Solve for x
    x = 49,706,025.06/3,217.25
  6. Step 6: Final answer
    x = 15,449.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.