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Finding the Third Proportional to 757.88 and 1,609.13

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Solution

The third proportional to 757.88 and 1,609.13 is: 3,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.88 : 1,609.13 = 1,609.13 : x
  2. Step 2: Convert to fraction form
    757.88/1,609.13 = 1,609.13/x
  3. Step 3: Cross multiply
    757.88x = 1,609.13 × 1,609.13
  4. Step 4: Simplify right side
    757.88x = 2,589,283.27
  5. Step 5: Solve for x
    x = 2,589,283.27/757.88
  6. Step 6: Final answer
    x = 3,416.50

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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.