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Finding the Third Proportional to 759.94 and 1,664.16

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Solution

The third proportional to 759.94 and 1,664.16 is: 3,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.94 : 1,664.16 = 1,664.16 : x
  2. Step 2: Convert to fraction form
    759.94/1,664.16 = 1,664.16/x
  3. Step 3: Cross multiply
    759.94x = 1,664.16 × 1,664.16
  4. Step 4: Simplify right side
    759.94x = 2,769,416.02
  5. Step 5: Solve for x
    x = 2,769,416.02/759.94
  6. Step 6: Final answer
    x = 3,644.27

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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.