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Finding the Third Proportional to 1,584.75 and 3,570.75

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Solution

The third proportional to 1,584.75 and 3,570.75 is: 8,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.75 : 3,570.75 = 3,570.75 : x
  2. Step 2: Convert to fraction form
    1,584.75/3,570.75 = 3,570.75/x
  3. Step 3: Cross multiply
    1,584.75x = 3,570.75 × 3,570.75
  4. Step 4: Simplify right side
    1,584.75x = 12,750,255.56
  5. Step 5: Solve for x
    x = 12,750,255.56/1,584.75
  6. Step 6: Final answer
    x = 8,045.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.