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Finding the Third Proportional to 751.31 and 1,589.16

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Solution

The third proportional to 751.31 and 1,589.16 is: 3,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.31 : 1,589.16 = 1,589.16 : x
  2. Step 2: Convert to fraction form
    751.31/1,589.16 = 1,589.16/x
  3. Step 3: Cross multiply
    751.31x = 1,589.16 × 1,589.16
  4. Step 4: Simplify right side
    751.31x = 2,525,417.59
  5. Step 5: Solve for x
    x = 2,525,417.59/751.31
  6. Step 6: Final answer
    x = 3,361.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.