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Finding the Third Proportional to 1,584.88 and 3,217.75

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Solution

The third proportional to 1,584.88 and 3,217.75 is: 6,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.88 : 3,217.75 = 3,217.75 : x
  2. Step 2: Convert to fraction form
    1,584.88/3,217.75 = 3,217.75/x
  3. Step 3: Cross multiply
    1,584.88x = 3,217.75 × 3,217.75
  4. Step 4: Simplify right side
    1,584.88x = 10,353,915.06
  5. Step 5: Solve for x
    x = 10,353,915.06/1,584.88
  6. Step 6: Final answer
    x = 6,532.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.