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Finding the Third Proportional to 1,170.70 and 2,584.41

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Solution

The third proportional to 1,170.70 and 2,584.41 is: 5,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.70 : 2,584.41 = 2,584.41 : x
  2. Step 2: Convert to fraction form
    1,170.70/2,584.41 = 2,584.41/x
  3. Step 3: Cross multiply
    1,170.70x = 2,584.41 × 2,584.41
  4. Step 4: Simplify right side
    1,170.70x = 6,679,155.67
  5. Step 5: Solve for x
    x = 6,679,155.67/1,170.70
  6. Step 6: Final answer
    x = 5,705.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.